The reviewed record of science sign in
Pith

arxiv: 2501.17146 · v1 · pith:RLVB6IP2 · submitted 2025-01-28 · math.DG

A total curvature estimate of closed hypersurfaces in non-positively curved symmetric spaces

Jiangtao Li , Zuo Lin , Liang Xu This is my paper

Reviewed by Pithpith:RLVB6IP2open to challenge →

classification math.DG
keywords closedcurvaturecurvedestimatehypersurfacesnon-positivelyspacessymmetric
0
0 comments X
read the original abstract

In this paper, we prove a total curvature estimate of closed hypersurfaces in simply-connected non-positively curved symmetric spaces, and as a corollary, we obtain an isoperimetric inequality for such manifolds.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Isoperimetric and total curvature inequalities in Cartan-Hadamard manifolds with nullity

    math.DG 2026-05 unverdicted novelty 6.0

    Proves sharp total Gauss-Kronecker curvature inequality for convex hypersurfaces in Cartan-Hadamard manifolds with nullity index ≥ n-3 via Chern-Gauss-Bonnet, extending the isoperimetric inequality and proving the Car...