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arXiv · 2501.17146

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

Jiangtao Li·Zuo Lin·Liang Xu
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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.

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Jiangtao Li, Zuo Lin, Liang Xu. 2025-01-28. A total curvature estimate of closed hypersurfaces in non-positively curved symmetric spaces. https://arxiv.org/abs/2501.17146

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