Frontiers of Mathematics in China >

2017 , Vol. 12 >Issue 4: 843 - 858

DOI: https://doi.org/10.1007/s11464-016-0603-2

RESEARCH ARTICLE

Discrete α-Yamabe flow in 3-dimension

  • Huabin GE 1 ,
  • Shiguang MA , 2
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  • 1. Institute of Mathematics, Beijing Jiaotong University, Beijing 100044, China
  • 2. Department of Mathematics and LPMC, Nankai University, Tianjin 300071, China

Received date: 10 Jul 2016

Accepted date: 18 Sep 2016

Published date: 06 Jul 2017

Copyright

2016 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

We generalize the discrete Yamabe flow to αorder. This Yamabe flow deforms the α-order curvature to a constant. Using this new flow, we manage to find discrete α-quasi-Einstein metrics on the triangulations of S 3.

Key words： α-Yamabe flow; α-quasi Einstein metric; ball packing metric

Cite this article

Huabin GE , Shiguang MA . Discrete α-Yamabe flow in 3-dimension[J]. Frontiers of Mathematics in China, 2017 , 12(4) : 843 -858 . DOI: 10.1007/s11464-016-0603-2

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