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

/ Authors

/ 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.

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

/ Authors

Jiangtao Li, Zuo Lin, Liang Xu

/ 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.