Comparison geometry of manifolds with boundary under a lower weighted Ricci curvature bound

Yohei Sakurai

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arXiv · 1612.08483

Comparison geometry of manifolds with boundary under a lower weighted Ricci curvature bound

Yohei Sakurai

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Abstract

We study Riemannian manifolds with boundary under a lower weighted Ricci curvature bound. We consider a curvature condition in which the weighted Ricci curvature is bounded from below by the density function. Under the curvature condition, and a suitable condition for the weighted mean curvature for the boundary, we obtain various comparison geometric results.

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Yohei Sakurai. 2017-12-07. Comparison geometry of manifolds with boundary under a lower weighted Ricci curvature bound. https://arxiv.org/abs/1612.08483

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