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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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0111 · Feb 201019922001200920182026
3 results for “Currier”
On nonnegatively curved hypersurfaces in hyperbolic spacemath.DG

Proves nonnegatively curved hypersurfaces in hyperbolic space are usually properly embedded.

problem Proving nonnegatively curved hypersurfaces in hyperbolic space are usually properly embedded.
method Analyzes Alexander and Currier's conjecture and proves it for most cases.
result Proves a conjecture about nonnegatively curved hypersurfaces in hyperbolic space.
nonnegatively curvedhypersurfaceshyperbolic spaceAlexanderCurrier
2016-03-12abs ↗pdf ↗
Locally convex surfaces immersed in a Killing submersionmath.DG

We generalize Hadamard-Stoker-Currier Theorems for surfaces immersed in a Killing submersion over a strictly Hadamard surface whose fibers are the trajectories of a unit Killing field. We prove that every complete surface whose principal curvatures are greater than a certain function (depending on the ambient manifold)…

2010-02-05abs ↗pdf ↗
Hypersurfaces with nonnegative Ricci curvature in hyperbolic spacemath.DG

Study shows properties of noncompact hypersurfaces in hyperbolic space.

problem Characterize noncompact hypersurfaces in hyperbolic space with nonnegative Ricci curvature.
method Utilized properties of n-subharmonic functions to analyze asymptotic boundaries.
result Hypersurfaces with nonnegative Ricci curvature in hyperbolic space have at most two points in their asymptotic boundary.
HypersurfacesHyperbolic spaceNonnegative Ricci curvatureAsymptotic boundaryn-subharmonic functions
2017-08-31abs ↗pdf ↗