Verify spiral minimal product structure using Takahashi Theorem.
problem Verify spiral minimal product structure.
method Using Takahashi Theorem with full computational details.
result Verify spiral minimal product structure.
On-device research index
arXiv research
A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
169,291 papers · 148 categories
Trend · papers per month
48 results for “Structure theorem”
Introduces new holomorphic contact structures and proves unobstructedness theorems.
problem Generalizing classical holomorphic contact and symplectic structures.
method Introducing new classes of holomorphic -contact and -symplectic manifolds, observing their properties, and proving structure and unobstructedness theorems.
result Generalizes classical results on small deformations of complex structures.
The paper proves normal forms for Dirac-Jacobi bundles and splitting theorems for Jacobi structures.
problem Proving normal forms and splitting theorems for Jacobi structures.
method Using recent techniques from Bursztyn, Lima and Meinrenken, the paper proves normal forms for Dirac-Jacobi bundles and splitting theorems for Jacobi pairs.
result The paper provides an alternative proof of the splitting theorem of homogeneous Poisson structures.
The paper extends classical Darboux theorems to various geometric structures in field theories.
problem Extending classical Darboux theorems to new geometric structures.
method Exploring flat connections and polarizations for geometric structures.
result New Darboux theorems for various geometric structures in field theories.
Gauss--Bonnet theorem for compact and orientable surfaces: a proof without using triangulationsmath.DG
A proof of Gauss--Bonnet theorem avoids triangulations using complex structures.
problem Proving the Gauss--Bonnet theorem without triangulations.
method Using complex structures to provide an intrinsic proof.
result A proof of the Gauss--Bonnet theorem achieved without triangulations.
The paper proves a Kempf-Ness theorem for non-algebraic structures.
problem Non-algebraic symplectic structures and shifted moment maps.
method Proves an affine Kempf-Ness theorem for these structures.
result Describes hyperkahler quotients of T*G.
Generalizes Kauffman's clock theorem to surfaces.
problem Proving a lattice structure on graph states in various surfaces.
method Using matchings and graph orientations, extending Propp's results.
result Two generalizations of Kauffman's theorem for more surfaces.
The controlled end and h-cobrodism theorems (Ends of maps I, 1979) are used to give quick proofs of the Top/PL and PL/DIFF product structure theorems.
Abstract: Extends theorems about statistical structures to abstract manifolds with curvature bounds.
problem Generalizing theorems about statistical structures to abstract manifolds with curvature bounds.
method Extends theorems about statistical structures to abstract manifolds with curvature bounds.
result Theorems about statistical structures on abstract manifolds with curvature bounds are generalized.
Weyl-type theorems extended to Galilei and Carroll geometries.
problem Extending Weyl's theorem to non-relativistic and ultra-relativistic spacetimes.
method Defining and analyzing conformal and projective structures in Galilei and Carroll geometries.
result Torsion-free connections in Galilei and Carroll geometries are uniquely determined by their projective structures.
Derives the Space-Time Positive Mass theorem in arbitrary dimensions.
problem Proving the Space-Time Positive Mass theorem in arbitrary dimensions.
method Skin structures and surgeries on minimal and marginally outer trapped hypersurfaces.
result Derives the Space-Time Positive Mass theorem in arbitrary dimensions.
Study on submanifolds in metallic structures with new results and structures.
problem Investigating submanifolds in metallic structures.
method Analyzing hypersurfaces and products spaces, defining new structures, and expressing fundamental theorems.
result New fundamental theorems for submanifolds in metallic structures.
Proves positive mass theorem on conical manifolds with small angles.
problem Proving the positive mass theorem on conical manifolds with small cone angles.
method Analyzes conical manifolds with small cone angles, assuming spin structure and locally conformal flatness.
result Proves the positive mass theorem under specified conditions.
In this paper we obtain a stability theorem of generalized Kahler structures with one pure spinor under small deformations of generalized complex structures. (This is analogous to the stability theorem of Kahler manifolds by Kodaira-Spencer.) We apply the stability theorem to a class of compact Kahler manifolds which a…
3D projective structures can be metrized with conformal structures.
problem Weyl metrizability of 3D projective structures.
method Interpreting Weyl metrizability as CR submanifolds in 7D.
result Beltrami's theorem extends to conformal structures in 3D.
In this paper we give an extension of the Cartier-Gabriel-Kostant structure theorem to Hopf algebroids.
A self-contained account of the theory of structure trees for edge cuts in networks is given. Applications include a generalisation of the Max-Flow Min-Cut Theorem to infinite networks and a short proof of a conjecture of Kropholler. This gives a relative version of Stallings' Theorem on the structure of groups with mo…
Busemann and MCPmath.DG
Study Busemann spaces with measures under MCP, proving rigidity and structure theorems.
problem Understanding the structure of Busemann spaces with measures.
method Analyzing geodesic completeness and non-collapse assumptions.
result Rigidity and structure theorems for Busemann spaces with MCP.
The paper extends a theorem for complex structures on Lie groups to Courant algebroids.
problem Characterizing integrable generalized complex structures on transitive Courant algebroids.
method Analyzing skew-symmetric fields of endomorphisms and their closure under the Dorfman bracket.
result Local form of integrable generalized complex structures is determined under certain conditions.
In this paper, we define a concept of a family of compact holomorphic Poisson manifolds on the basis of Kodaira-Spencer's deformation theory and deduce the integrability condition. We prove an analogue of their `Theorem of existence for complex analytic structures' under some analytic assumption, and establish an analo…
Study on Kähler manifolds with non-negative mixed curvature, proving splitting and structure theorems.
problem Investigating properties of Kähler manifolds with specific curvature conditions.
method Conformal perturbation method.
result Established structure and splitting theorems for Kähler manifolds with non-negative mixed curvature.
Proves a simplified version of Hitchin's theorem.
problem Constructing hyper-Kähler structures.
method Concrete variant of Hitchin's theorem.
result Applies to real manifolds without constructing hyper-Kähler structures.
The article resolves complex structures in transport twistor spaces, proving a Newlander-Nirenberg theorem.
problem Degenerate complex structures in transport twistor spaces.
method Holomorphic blow-down structure maps to resolve degeneracy and gain insight into complex geometry.
result Global and local β-maps for various metrics, proving a Newlander-Nirenberg theorem for degenerate complex structures.
The history and proofs of Topological Tverberg Theorem are discussed.
problem Understanding the proofs and properties of Topological Tverberg Theorem.
method Historical overview and detailed cell structure analysis of classifying space.
result Clarification of the cell structure of the classifying space .
In this paper we show as main results two structure theorems of a compact homogeneous locally conformally Kaehler (or shortly l.c.K.) manifold, a holomorphic structure theorem asserting that it has a structure of holomorphic principal fiber bundle over a flag manifold with fiber a 1-dimensional complex torus, and a met…
Chern's theorem shows S^6 can't have compatible complex structures.
problem Existence of complex structures on S^6
method Analyzing omega-compatible almost complex structures
result S^6 does not admit omega-compatible almost complex structures
Computes invariant for smooth h-cobordisms families, proving duality and vanishing theorems.
problem Computing invariants for smooth h-cobordisms families.
method Using Dwyer, Weiss, and Williams work, fiberwise generalized Morse function, fiberwise Poincaré--Hopf theory.
result Duality theorem for smooth structure class, vanishing theorem for Rigidity Conjecture.
We study the symplectic structure of the holomorphic coadjoint orbits, generalizing a theorem of McDuff on the symplectic structure of Hermitian symmetric spaces of noncompact type.
The paper proves a Hard Lefschetz Theorem for push-forwards of polarized twistor modules.
problem Proving a Hard Lefschetz Theorem for push-forwards of polarized twistor modules.
method Using Kashiwara and Kawai's theorem on Hodge structures and regular polarized twistor modules.
result Proves the Hard Lefschetz Theorem for push-forwards of polarized twistor modules.
Study real structures and -monopoles in symplectic and Kähler manifolds.
problem Investigate -monopole invariants in real symplectic and Kähler manifolds.
method Prove nonvanishing theorem and give Kobayashi-Hitchin type correspondence.
result Analogous nonvanishing theorem for real symplectic 4-manifolds.
Absolute index theorem for warped product manifolds.
problem Equivariant index computation for manifolds with warped product structures.
method Warped product structure, Fredholm operator, Atiyah-Segal-Singer index theorem.
result Equivariant relative index theorem for manifolds with warped product structures.
New rigidity theorem for Scherk's surfaces and flat structures.
problem Characterizing and proving uniqueness of minimal surfaces and flat structures.
method Combining curvature estimates and geometric harmonic functions to construct fresh uniqueness results.
result Periodic minimal surfaces admit new uniqueness results.
Study neighbourhoods of submanifolds in generalized complex geometry.
problem Understanding the structure and deformations of submanifolds in generalized complex geometry.
method Analytical tools including Hodge decompositions and Nash-Moser algorithm.
result Explicit conditions for B-field equivalence of holomorphic Poisson structures.
The paper extends Newlander-Nirenberg theorem to domains with boundary.
problem Extending Newlander-Nirenberg theorem to domains with boundary.
method Analyzing formally integrable complex structures on domains with boundary.
result Existence of global holomorphic coordinate systems on the closure of a bounded strictly pseudoconvex domain.
How many are linear connections with prescribed Ricci tensor? How many are statistical structures? The questions are answered in the analytic case by using the Cauchy-Kowalewski theorem.
The paper extends equiaffine structure to frontals and defines Blaschke vector fields.
problem Defining equiaffine structure on frontals.
method Defining Blaschke vector fields and providing necessary conditions for frontals to have such fields.
result A fundamental theorem for frontals, akin to the fundamental theorem of affine differential geometry.
Study complex structures on nilpotent Lie algebras, finding bounds and structural theorems.
problem Restrictions on the ascending central series of nilpotent Lie algebras with complex structures.
method Constructive approach, finding bounds and describing parametrizations.
result Bound on the dimension of the center of when it lacks non-trivial -invariant ideals.
Fried's theorem proven for symmetric space boundaries.
problem Characterizing manifolds with similarity structures.
method General proof for all rank one symmetric space boundary geometries.
result Closed manifolds are either complete or develop onto Heisenberg-type spaces.
By using a Borel density theorem for algebraic quotients, we prove a theorem concerning isometric actions of a Lie group on a smooth or analytic manifold with a rigid -structure . It generalizes Gromov's centralizer and representation theorems to the case where is split solvable and $G/R(G…
We study the moduli space of quaternionic Kaehler structures on a compact manifold of dimension 4n (n>2) from a point of view of Riemannian geometry, not twistor theory. Then we obtain a rigidity theorem for quaternionic Kaehler structures of nonzero scalar curvature by observing the moduli space.
Study groups with polynomial growth, finding structure and applications.
problem Understanding groups with polynomial growth structure.
method Structure theorem for locally compact groups of polynomial growth.
result Applications on various growth functions and relations to FC-G series.
The main aim of this paper is to extend Bochner's technique to statistical structures. Other topics related to this technique are also introduced to the theory of statistical structures. It deals, in particular, with Hodge's theory, Bochner-Weitzenbock and Simon's type formulas. Moreover, a few global and local theorem…
We abstract Morimoto's construction of complex structures on product manifolds to pairs of certain generalized -structures on manifolds that are not necessarily global products. As applications we characterize invariant generalized complex structures on product manifolds in which one factor is a Lie group and we gen…
In this paper, we prove an existence theorem of a local moduli space for geometric structures in a very general setting. Then to show the interest of this result, we apply it to the case of sasakian and Sasaki-Einstein structures.
New proof of generalized Chow-Rashevskii theorem for non-linear systems.
problem Generalized Chow-Rashevskii Theorem for non-linear systems.
method Independent proof structure allowing generalizations to orbits of compositions of flows.
result Proof structure applicable to applications in Control Theory and controllability criteria.
Smooth maps in o-minimal structures are mostly transverse.
problem Transversality of smooth definable maps in o-minimal structures.
method Definable smooth version of Thom transversality theorem, proving nowhere density of non-transverse maps, and a definable version of Trotman's theorem.
result Non-transverse maps are nowhere dense in the definable smooth topology.
We show that if a manifold M admits a contact structure, then so does M\times S^2. Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of Bourgeois showing that if M admits a contact structure then so does M\times T^2.
Solves division problem for L. Hörmander's systems.
problem Division problem for L. Hörmander's overdetermined systems.
method Formulates and proves divisibility criterion, coherence theorem.
result Establishes effective divisibility criterion and extends coherence theorem.