Comparison Geometry of Manifolds with Boundary under a Lower Weighted Ricci Curvature Bound

Yohei Sakurai

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)243-280
Number of pages38
JournalCanadian Journal of Mathematics
Volume72
Issue number1
DOIs
Publication statusPublished - 2020 Feb 1

Keywords

  • Manifold with boundary
  • Weighted Ricci curvature

ASJC Scopus subject areas

  • Mathematics(all)

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