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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.

168,742 papers · 148 categories

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6 results for “non-density”

Non-density results in high dimensional stable Hamiltonian topologymath.SG

Study on stable Hamiltonian topology finds non-density of certain structures.

problem Non-density of stable hypersurfaces and Hamiltonian structures.

method Proving non-density results for stable hypersurfaces and Hamiltonian structures in various dimensions.

result Non-density of stable hypersurfaces and Hamiltonian structures in specific isotopy and homotopy classes.

stable topology Hamiltonian structures non-density symplectic manifold embedding

2024-07-01abs ↗pdf ↗

Quantifying the sparseness of simple geodesics on hyperbolic surfacesmath.GT

The goal of the article is to provide different explicit quantifications of the non density of simple closed geodesics on hyperbolic surfaces. In particular, we show that within any embedded metric disk on a surface, lies a disk of radius only depending on the topology of the surface (and the size of the first embedded…

2018-06-04abs ↗pdf ↗

C^0

-stable mappings on non-compact manifoldsmath.GT

Non-compact manifolds prevent $C^0$ -stable mappings from being dense.

problem Density of

C^0

-stable mappings on non-compact manifolds.

method Using topologically critical points to show non-density.

result The set of

C^0

-stable mappings is never dense on non-compact manifolds.

$C^0$-stable mappings density non-compact manifolds topologically critical points

2023-01-04abs ↗pdf ↗

\mathrm{SL}(n,\mathbb{R})

-actions on closed manifoldsmath.DS

Classifies real-analytic SL(n,R) actions on closed manifolds.

problem Classifying real-analytic SL(n,R) actions on closed manifolds.

method Analytic and smooth classification methods.

result Extensions and classifications of Fisher--Melnick's work.

SL(n R)real analytic closed manifolds structural stability

2025-08-06abs ↗pdf ↗

Non-density of stable mappings on non-compact manifoldsmath.GT

This paper shows stable mappings are never dense on non-compact manifolds.

problem Density of stable mappings on non-compact manifolds.

method Complementing Mather's theory, proving stability results for non-compact manifolds.

result The set of stable mappings is never dense on non-compact manifolds.

stable mappings non-compact manifolds density Mather's theory

2021-09-17abs ↗pdf ↗

Density and non-density of

C^\infty_c \hookrightarrow W^{k,p}

on complete manifolds with curvature boundsmath.DG

Density of smooth functions in Sobolev space on manifolds with curvature bounds.

problem Density of

C^\infty_c

in

W^{k,p}

on manifolds with curvature bounds.

method Gradient regularity lemma, construction of counterexamples.

result Existence of manifolds where density in

W^{k,p}

does not hold.

density Sobolev space Riemannian manifolds curvature bounds gradient regularity

2020-11-30abs ↗pdf ↗