双曲几何流的特解

数学物理学报 ›› 2011, Vol. 31 ›› Issue (5): 1150-1159.

双曲几何流的特解

涂婕|付林|周昕

浙江大学数学系杭州 310027

收稿日期:2009-10-08 修回日期:2010-12-04 出版日期:2011-10-25 发布日期:2011-10-25

Exact Solutions to Hyperbolic Geometric Flows

TU Jie, FU Lin, ZHOU Xin

Department of Mathematics, Zhejiang University, Hangzhou 310027

Received:2009-10-08 Revised:2010-12-04 Online:2011-10-25 Published:2011-10-25

摘要/Abstract

摘要：

该文主要研究双曲几何流的一些特解. 与此同时, 对特解的性质进行了详细的分析. 得到的这些解的性质将有利于加深对Einstein方程和双曲几何流方程的理解.

关键词: 双曲几何流, 耗散的双曲几何流, Einstein双曲几何流, Einstein流形, 特解

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

中图分类号:

58J45

涂婕, 付林, 周昕. 双曲几何流的特解[J]. 数学物理学报, 2011, 31(5): 1150-1159.

TU Jie, FU Lin, ZHOU Xin. Exact Solutions to Hyperbolic Geometric Flows[J]. Acta mathematica scientia,Series A, 2011, 31(5): 1150-1159.