Remarks on a scalar curvature rigidity theorem of brendle and marques

Graham Cox; Pengzi Miao; Luen Fai Tam

doi:10.4310/AJM.2013.v17.n3.a4

Remarks on a scalar curvature rigidity theorem of brendle and marques

Graham Cox, Pengzi Miao, Luen Fai Tam

Mathematics

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

3 Scopus citations

Abstract

We give an improvement of a scalar curvature rigidity theorem of Brendle and Marques regarding geodesic balls in Sⁿ. The main result is that Brendle and Marques' theorem holds on a geodesic ball larger than that specified in[2].

Original language	English (US)
Pages (from-to)	457-470
Number of pages	14
Journal	Asian Journal of Mathematics
Volume	17
Issue number	3
DOIs	https://doi.org/10.4310/AJM.2013.v17.n3.a4
State	Published - 2013

Keywords

Mean curvature
Min-Oo's conjecture
Scalar curvature

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.4310/AJM.2013.v17.n3.a4

Cite this

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title = "Remarks on a scalar curvature rigidity theorem of brendle and marques",

abstract = "We give an improvement of a scalar curvature rigidity theorem of Brendle and Marques regarding geodesic balls in Sn. The main result is that Brendle and Marques' theorem holds on a geodesic ball larger than that specified in[2].",

keywords = "Mean curvature, Min-Oo's conjecture, Scalar curvature",

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

year = "2013",

doi = "10.4310/AJM.2013.v17.n3.a4",

language = "English (US)",

volume = "17",

pages = "457--470",

journal = "Asian Journal of Mathematics",

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publisher = "International Press of Boston, Inc.",

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AU - Cox, Graham

AU - Miao, Pengzi

AU - Tam, Luen Fai

PY - 2013

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N2 - We give an improvement of a scalar curvature rigidity theorem of Brendle and Marques regarding geodesic balls in Sn. The main result is that Brendle and Marques' theorem holds on a geodesic ball larger than that specified in[2].

AB - We give an improvement of a scalar curvature rigidity theorem of Brendle and Marques regarding geodesic balls in Sn. The main result is that Brendle and Marques' theorem holds on a geodesic ball larger than that specified in[2].

KW - Mean curvature

KW - Min-Oo's conjecture

KW - Scalar curvature

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M3 - Article

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SP - 457

EP - 470

JO - Asian Journal of Mathematics

JF - Asian Journal of Mathematics

SN - 1093-6106

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ER -

Remarks on a scalar curvature rigidity theorem of brendle and marques

Abstract

Keywords

ASJC Scopus subject areas

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