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

Fuente: arXiv
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Autori principali: Li, Jiangtao, Lin, Zuo, Xu, Liang
Natura: Preprint
Pubblicazione: 2025
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author Li, Jiangtao
Lin, Zuo
Xu, Liang
author_facet Li, Jiangtao
Lin, Zuo
Xu, Liang
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_17146
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A total curvature estimate of closed hypersurfaces in non-positively curved symmetric spaces
Li, Jiangtao
Lin, Zuo
Xu, Liang
Differential Geometry
53C35, 52A38, 51M16
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.
title A total curvature estimate of closed hypersurfaces in non-positively curved symmetric spaces
topic Differential Geometry
53C35, 52A38, 51M16
url https://arxiv.org/abs/2501.17146