Scalar curvature rigidity with a volume constraint

Pengzi Miao; Luen Fai Tam

doi:10.4310/CAG.2012.v20.n1.a1

Scalar curvature rigidity with a volume constraint

Pengzi Miao, Luen Fai Tam

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Motivated by Brendle-Marques-Neves' counterexample to the Min-Oo's conjecture, we prove a volume constrained scalar curvature rigidity theorem which applies to the hemisphere.

Original language	English (US)
Pages (from-to)	1-30
Number of pages	30
Journal	Communications in Analysis and Geometry
Volume	20
Issue number	1
DOIs	https://doi.org/10.4310/CAG.2012.v20.n1.a1
State	Published - Jan 2012

ASJC Scopus subject areas

Analysis
Statistics and Probability
Geometry and Topology
Statistics, Probability and Uncertainty

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10.4310/CAG.2012.v20.n1.a1

Cite this

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title = "Scalar curvature rigidity with a volume constraint",

abstract = "Motivated by Brendle-Marques-Neves' counterexample to the Min-Oo's conjecture, we prove a volume constrained scalar curvature rigidity theorem which applies to the hemisphere.",

author = "Pengzi Miao and Tam, {Luen Fai}",

year = "2012",

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doi = "10.4310/CAG.2012.v20.n1.a1",

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Scalar curvature rigidity with a volume constraint

Abstract

ASJC Scopus subject areas

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