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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.

169,291 papers · 148 categories

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8 results for AdS-Schwarzschild

New static black hole uniqueness theorems for negative cosmological constant.

problem Uniqueness of static black holes in asymptotically locally hyperbolic spaces.
method Inequality relating surface gravity and topology, rigidity of Kottler black holes, monotone quantities under IMCF, regularity theorem for IMCF.
result Static black holes are uniquely determined by their geometry and topology.

Study rigidity of isometric immersions with same mean curvature in warped product spaces.

problem Rigidity of isometric immersions with the same mean curvature in warped product spaces.
method Analyzes isometric immersions in warped product spaces, proving rigidity under certain conditions.
result Two star-shaped hypersurfaces in specific manifolds differ only by rotation if they are isometric and have the same mean curvature.

The paper examines stability of Minkowski inequalities in warped product spaces.

problem Stability of Minkowski-type inequalities for hypersurfaces in warped product spaces.
method Established a stability estimate for the norm of the traceless second fundamental form.
result Proved stability of Minkowski inequalities in specific warped product examples.

Let (M,g)(M,g) be an asymptotically hyperbolic manifold with a smooth conformal compactification. We establish a general correspondence between semilinear elliptic equations of scalar curvature type on $\del M$ and Weingarten foliations in some neighbourhood of infinity in MM. We focus mostly on foliations where each lea…

2007-10-11abs ↗pdf ↗

The study proves the regularity of inverse mean curvature flow in specific geometric settings.

problem Regularity of inverse mean curvature flow in asymptotically hyperbolic manifolds.
method Utilizing the behavior of Hawking masses, the study shows star-shaped slices after a long time.
result The weak solution of inverse mean curvature flow becomes regular over time.

Paper proves rigidity of Poincaré-Einstein manifolds with cylindrical conformal infinities.

problem Rigidity of Poincaré-Einstein manifolds with cylindrical conformal infinities.
method Established ε-regularity for Weyl curvature and proved rigidity results.
result Any Poincaré-Einstein filling of S1imesSn1S^1 imes S^{n - 1} must be hyperbolic if non-positively curved.