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Rigidity Theorems for Compact Manifolds with Boundary and Positive Ricci Curvature

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Abstract

We prove some boundary rigidity results for the hemisphere under a lower bound for Ricci curvature. The main result can be viewed as the Ricci version of a conjecture of Min-Oo.

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Authors and Affiliations

  1. Courant Institute, 251 Mercer Street, New York, NY, 10012, USA

    Fengbo Hang

  2. Department of Mathematics, Michigan State University, East Lansing, MI, 48864, USA

    Xiaodong Wang

Authors
  1. Fengbo Hang
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  2. Xiaodong Wang
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Corresponding author

Correspondence to Xiaodong Wang.

Additional information

Communicated by Jiaping Wang.

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Hang, F., Wang, X. Rigidity Theorems for Compact Manifolds with Boundary and Positive Ricci Curvature. J Geom Anal 19, 628–642 (2009). https://doi.org/10.1007/s12220-009-9074-y

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  • DOI: https://doi.org/10.1007/s12220-009-9074-y

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