The Large Time Asymptotics of the Entropy

  • Lei Ni
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

In this note we supply the detailed proof of the entropy asymptotics on manifolds with nonnegative Ricci curvature. We also discuss the possible connections between the large time behavior of the entropy and the existence of harmonic functions.

Keywords

Heat kernel entropy harmonic functions 

Mathematics Subject Classification (2000)

58G11 
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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  • Lei Ni
    • 1
  1. 1.Department of MathematicsUniversity of California at San DiegoLa JollaUSA

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