Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (1): 1-6.

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A Note on Geodesic Loops in Complete Non-Compact Ricci Solitons

Chen Chih-Wei   

  1. National Center for Theoretical Sciences, Taiwan Hsinchu
  • Received:2016-04-12 Revised:2016-10-20 Online:2017-02-26 Published:2017-02-26

Abstract:

We give a visual description on the κ-noncollapsity of Ricci solitons with quadratic decaying curvature by studying closed loops in them.

Key words: Injectivity radius, Curvature decay, Ricci soliton

CLC Number: 

  • O186.1
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