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Evolution of Yamabe constant under Ricci flow

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Abstract

In this note under a crucial technical assumption, we derive a formula for the derivative of Yamabe constant \(\mathcal{Y}(g(t))\), where g(t) is a solution of Ricci flow on closed manifold. We also give a simple application.

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Authors and Affiliations

  1. Department of Mathematics, NTHU, Hsinchu, Taiwan

    Shu-Cheng Chang

  2. Department of Mathematics, University of Oregon, Eugene, OR, U.S.A.

    Peng Lu

Authors
  1. Shu-Cheng Chang
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  2. Peng Lu
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Correspondence to Shu-Cheng Chang.

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Mathematics Subject Classifications (2000): 53C21 and 53C44

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Chang, SC., Lu, P. Evolution of Yamabe constant under Ricci flow. Ann Glob Anal Geom 31, 147–153 (2007). https://doi.org/10.1007/s10455-006-9041-9

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  • DOI: https://doi.org/10.1007/s10455-006-9041-9

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