Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

Mohammad Ghomi; Joel Spruck

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arXiv · 1908.09814

Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

Mohammad Ghomi·Joel Spruck

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Abstract

We obtain an explicit formula for comparing total curvature of level sets of functions on Riemannian manifolds, and develop some applications of this result to the isoperimetric problem in spaces of nonpositive curvature.

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Mohammad Ghomi, Joel Spruck. 2021-09-23. Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds. https://arxiv.org/abs/1908.09814

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