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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.

169,341 papers · 148 categories

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6 results for “nil-manifolds”

Sub-Riemannian geodesics on the Heisenberg 3D nil-manifoldmath.DG

Study sub-Riemannian geodesics on a Heisenberg 3D nil-manifold.

problem Characterize geodesics on a specific nil-manifold.

method Analyze the projection of sub-Riemannian structure, describe geodesic flow dynamics, and estimate sub-Riemannian geodesics.

result Sharp bounds and estimates for sub-Riemannian geodesics.

Heisenberg group sub-Riemannian geodesics nil-manifold geodesic flow Pontryagin maximum principle

2024-06-23abs ↗pdf ↗

The rational stable homology of mapping class groups of universal nil-manifoldsmath.KT

Compute stable homology of automorphism groups of free nilpotent groups.

problem Compute stable homology of automorphism groups of free nilpotent groups.

method Functor homology reduction to abelian case, TOP, PL, DIFF categories applications.

result Compute rational stable homology of mapping class groups of universal nil-manifolds.

stable homology automorphism groups free nilpotent groups functor homology nil-manifolds

2016-05-20abs ↗pdf ↗

Partially hyperbolic diffeomorphisms and Lagrangian contact structuresmath.DG

The paper classifies 3D contact partially hyperbolic diffeomorphisms.

problem Classifying contact partially hyperbolic diffeomorphisms in 3D.

method Smooth classification, conjugation to known flows or automorphisms, use of invariant distributions.

result Classification up to finite quotient or power, conjugation to known structures.

contact geometry diffeomorphisms partial hyperbolicity 3D manifolds conjugation

2020-02-25abs ↗pdf ↗

Differential Rigidity of Anosov Actions of Higher Rank Abelian Groups and Algebraic Lattice Actionsmath.DG

We show that most homogeneous Anosov actions of higher rank Abelian groups are locally smoothly rigid (up to an automorphism). This result is the main part in the proof of local smooth rigidity for two very different types of algebraic actions of irreducible lattices in higher rank semisimple Lie groups: (i) the Anosov…

1997-04-24abs ↗pdf ↗

Compatibility between non-Kähler structures on complex (nil)manifoldsmath.DG

Study non-Kähler metrics on complex nilmanifolds, proving torus structure under certain conditions.

problem Understanding special non-Kähler metrics on complex nilmanifolds.

method Analyzing locally conformally Kähler,

k

-Gauduchon, balanced, and locally conformally balanced metrics on compact complex manifolds.

result Compact complex nilmanifolds with balanced or

k

-Gauduchon metrics are tori, extending previous results.

non-Kähler metrics complex nilmanifolds torus structure locally conformally Kähler balanced metrics

2020-03-24abs ↗pdf ↗

On continuous families of geometric Seifert conemanifold structuresmath.GT

Study geometric structures of Seifert manifolds with up to three exceptional fibres.

problem Determine Thurston's geometry of Seifert fibered conemanifolds.

method Analyze Seifert manifolds with up to three exceptional fibres and apply to three families.

result Generalize results to all torus knots, associating plots for different geometries.

Seifert manifolds Thurston geometry Spherical geometry Nil geometry Dehn surgery

2016-04-29abs ↗pdf ↗