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Some remarks on Bach-flat manifolds with positive constant scalar curvature

Volume 155 / 2019

Hai-Ping Fu, Gao-Bo Xu, Yong-Qian Tao Colloquium Mathematicum 155 (2019), 187-196 MSC: Primary 53C20; Secondary 53C21. DOI: 10.4064/cm7358-2-2018 Published online: 9 November 2018

Abstract

We give some rigidity results for Bach-flat manifolds with positive constant scalar curvature under pointwise or integral pinching conditions which have the additional property of being sharp.

Authors

  • Hai-Ping FuDepartment of Mathematics
    Nanchang University
    330031 Nanchang, P.R. China
    e-mail
  • Gao-Bo XuDepartment of Mathematics
    Nanchang University
    330031 Nanchang, P.R. China
    e-mail
  • Yong-Qian TaoDepartment of Mathematics
    Nanchang University
    330031 Nanchang, P.R. China
    e-mail

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