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.
Bounded symmetric domains are biholomorphic to tube domains over Finsler symmetric cones.
Rotationally symmetric solutions persist after mean curvature flow starts from a double cone.
New algorithm for online optimization over symmetric cones, unifying previous methods.
The SCMU algorithm computes cone factorizations for symmetric cones, improving upon existing methods.
New Calabi-Yau metrics found on complex symmetric spaces.
Study shows flows from double cones remain symmetric, finds non-symmetric example.
The paper studies horofunction compactifications of symmetric cones under Finsler distances.
Study finds volume minimization principle for conical Calabi-Yau structures on horospherical cones.
In symmetric cones, a non-empty locus satisfies the WDVV equation, generalizing previous results.
New Ricci flow solutions found with rotational symmetry and cone-like singularities.
In his paper "Shapes of Polyhedra and Triangulations of the Sphere", Thurston found that the set of shapes of convex polyhedra with prescribed cone-deficits has a complex hyperbolic structure. Inspired by his work, this paper studies the set of shapes of centrally symmetric octahedra with prescribed cone-deficits. We s…
The paper finds determinantal expressions for certain symmetric space integrals.
Study on minimizing singular capillary cones with stability and instability results.
This work improves understanding of symmetrizing Bregman divergences on positive definite matrices.
Study inequalities for singular values of rectangular matrices.
We show that an expanding gradient Ricci solitons which is asymptotic to a cone at infinity in a certain sense must be rotationally symmetric.
Study limits of Kähler-Einstein metrics with cone singularities on complex projective manifolds.
The paper explores Cholesky decompositions for symmetric matrices and their geometric properties.
Study on sine-cones' spectra and stability under Ricci-de Turck flow.
In this article, we study complete pseudo-Riemannian manifolds whose cone admits a parallel symmetric 2-tensorfield. The situation splits in three cases: nilpotent, decomposable or complex Riemannian. In the complex Riemannian and decomposable cases we provide a classification. In the nilpotent case, we are able to des…
Formula for BPS black hole entropy derived from Vinberg cones.
This paper proves a curvature entropy inequality for non-symmetric convex bodies.
In this article I show that every special Lagrangian cone in C^3 determines, and is determined by, a primitive harmonic surface in the 6-symmetric space SU_3/SO_2. For cones over tori, this allows us to use the classification theory of harmonic tori to describe the construction of all the corresponding special Lagrangi…
Constructs self-expanders of positive genus for cones in R^3.
In this paper, we give a general group-theoretic construction of affine $\RR$-buildings, and more generally, of affine -buildings, associated to semisimple Lie groups over nonarchimedean real closed fields. The construction of Kleiner-Leeb using the asymptotic cone of a Riemannian symmetric space appears as a specia…
Developing a non-symmetric strainer theory for spaces with non-negative curvature beyond Alexandrov geometry.
Gromov and Sormani conjectured that sequences of compact Riemannian manifolds with nonnegative scalar curvature and area of minimal surfaces bounded below should have subsequences which converge in the intrinsic flat sense to limit spaces which have nonnegative generalized scalar curvature and Euclidean tangent cones a…
A rank-n tensor on a Lorentzian manifold V whose contraction with n arbitrary causal future directed vectors is non-negative is said to have the dominant property. These tensors, up to sign, are called causal tensors, and we determine their general properties in dimension N. We prove that rank-2 tensors which map the n…
We consider a mean curvature flow in a cone, that is, a hypersurface in a cone which moves toward the opening with normal velocity equaling to the mean curvature, and the contact angle between the hypersurface and the cone boundary being -periodic in its position. First, by constructing a family of self-si…
We investigate a potential obtained as the convolution of a radially symmetric function and the characteristic function of a body (the closure of a bonded open set) with exterior cones. In order to restrict the location of a maximizer of the potential into a smaller closed region contained in the interior of the body, …
New distances for comparing multivariate normal distributions.
Polyhedral surfaces can be broken down into parallelograms.
Hyperkahler manifolds with round Kahler cones have unique bimeromorphic models.
In this paper, we initiate the study of the instability of naked singularities without symmetries. In a series of papers, Christodoulou proved that naked singularities are not stable in the context of the spherically symmetric Einstein equations coupled with a massless scalar field. We study in this paper the next simp…
We show that expanding Kähler-Ricci solitons which have positive holomorphic bisectional curvature and are asymptotic to Kähler cones at infinity must be the U(n)-rotationally symmetric expanding solitons constructed by Cao.
Study confirms conjectures on Ricci limit spaces and their topological properties.
We identify R^7 as the pure imaginary part of octonions. Then the multiplication in octonions gives a natural almost complex structure for the unit 6-sphere. It is known that a cone over a surface M in S^6 is an associative submanifold of R^7 if and only if M is almost complex in S^6. In this paper, we show that the Ga…
We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki-Einstein manifolds. We obtain new quiver gauge theories extending those induced via reduction over the leaf spaces of the characteristic foliation of the Sasaki-Einstein structure, whi…
Defines metric bundles for manifold geometries, unifying various types of metrics.
Given a geodesic inside a simply-connected, complete, non-positively curved Riemannian (NPCR) manifold M, we get an associated geodesic inside the asymptotic cone Cone(M). Under mild hypotheses, we show that if the latter is contained inside a bi-Lipschitz flat, then the original geodesic supports a non-trivial, orthog…
The paper proves curvature estimates for specific hypersurfaces in hyperbolic space.
The paper proves existence of solutions to a Loewner-Nirenberg problem on Riemannian manifolds.
In this paper we propose an algorithm for exact partitioning of high-order models. We define a general class of -degree Homogeneous Polynomial Models, which subsumes several examples motivated from prior literature. Exact partitioning can be formulated as a tensor optimization problem. We relax this high-order combi…
This work concerns stability and instability of Einstein warped products with an Einsteinian fiber of codimension 1. We study the cases where the scalar curvature of the warped product and of the fiber are either both positive or both negative to complement the results in [Krö16]. Up to a small gap in the case of sin-c…
In this paper we give sufficient conditions that guarantee the meancurvature flow with free boundary on an embedded rotationally symmetric double cone develops a Type 2 curvature singularity. We additionally prove that Type 0 singularities may only occur at infinity.
We show that if two gradient Ricci solitons are asymptotic along some end of each to the same regular cone, then the soliton metrics must be isometric on some neighborhoods of infinity of these ends. Our theorem imposes no restrictions on the behavior of the metrics off of the ends in question and in particular does no…
We show that a locally symmetric space of noncompact type and with finite volume is quasi-isometric to the euclidean cone over a finite simplicial complex. A detailed analysis of metric properties yields a proof of a conjecture of Siegel.
We study geodesically complete and locally compact Hadamard spaces X whose Tits boundary is a connected irreducible spherical building. We show that X is symmetric iff complete geodesics in X do not branch and a Euclidean building otherwise. Furthermore, every boundary equivalence (cone topology homeomorphism preservin…