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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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4 results for “starshapedness”

Strict starshapedness of solutions to the horizontal p-laplacian in the Heisenberg groupmath.AP

Find conditions for starshapedness of level sets in Heisenberg group.

problem Ensure starshapedness of level sets of

p

-capacitary potentials.

method Examine horizontally

p

-harmonic functions in the Heisenberg group.

result Sharp conditions for strictly starshaped level sets.

Heisenberg group p-harmonic functions starshapedness level sets p-capacitary potentials

2020-11-09abs ↗pdf ↗

On the boundary of closed convex sets in

E^{n}

math.MG

In this article a class of closed convex sets in the Euclidean $n$ -space which are the convex hull of their profiles is described. Thus a generalization of Krein-Milman theorem\cite{Lay:1982} to a class of closed non-compact convex sets is obtained. Sufficient and necessary conditions for convexity, affinity and starsh…

2013-01-04abs ↗pdf ↗

Asymptotic convergence for modified scalar curvature flowmath.DG

The paper studies a modified scalar curvature flow and proves convergence to a sphere.

problem Analyzing the convergence of a modified scalar curvature flow.

method Flow of starshaped hypersurfaces with a specific speed function, proving existence and convergence.

result The flow converges exponentially fast to a sphere, except for

α<2

scalar curvature flow starshaped hypersurfaces exponential convergence counterexample

2020-08-12abs ↗pdf ↗

On compact embbeded Weingarten hypersurfaces in warped productsmath.DG

The study examines hypersurfaces in warped products and their properties.

problem Characterizing hypersurfaces in warped products satisfying a specific curvature condition.

method Analyzes hypersurfaces in warped products with a Weingarten condition and proves stability results.

result Hypersurfaces in space forms are geodesic spheres under certain curvature conditions.

Hypersurfaces Warped Products Weingarten Condition Stability Geodesic Spheres

2022-06-14abs ↗pdf ↗