Brendle’s Inequality on Static Manifolds

Xiaodong Wang, Ye Kai Wang

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We generalize Brendle’s geometric inequality considered in Brendle (Publ Math Inst Hautes Études Sci 117:247–269, 2013) to static manifolds. The inequality bounds the integral of inverse mean curvature of an embedded mean-convex hypersurface by geometric data of the horizon. As a consequence, we obtain a reverse Penrose inequality on static asymptotically locally hyperbolic manifolds in the spirit of Chruściel and Simon (J Math Phys 42(4):1779–1817, 2001).

Original languageEnglish
Pages (from-to)152-169
Number of pages18
JournalJournal of Geometric Analysis
Volume28
Issue number1
DOIs
Publication statusPublished - 2018 Jan 1

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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