Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (5): 1150-1159.

• Articles • Previous Articles     Next Articles

Exact Solutions to Hyperbolic Geometric Flows

 TU Jie, FU Lin, ZHOU Xin   

  1. Department of Mathematics, Zhejiang University, Hangzhou 310027
  • Received:2009-10-08 Revised:2010-12-04 Online:2011-10-25 Published:2011-10-25

Abstract:

In this paper, the authors investigate the exact solutions to hyperbolic geometric flow. Some interesting properties and phenomena enjoyed by these solutions are  also  discovered and analyzed. These are useful to understand the Einstein equations and the hyperbolic
geometric flow.

Key words: Hyperbolic geometric flow, Dissipative hyperbolic geometric flow, Einstein’s hyperbolic geometric flow, Einstein manifold, Exact solutions

CLC Number: 

  • 58J45
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