| 赵亮,沈明.耗散双曲Yamabe流的精确解[J].数学年刊A辑,2013,34(2):161~166 |
| 耗散双曲Yamabe流的精确解 |
| Exact Solutions for the Dissipative HyperbolicYamabe Flow |
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| DOI： |
| 中文关键词: 耗散双曲Yamabe流, 精确解, 稳定耗散双曲Yamabe孤子 |
| 英文关键词:Dissipative hyperbolic Yamabe flow, Exact solution, Steady
dissipative hyperbolic Yamabe soliton |
| 基金项目:国家自然科学基金 (No.11101085) |
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| 中文摘要: |
| 本文介绍了一种新的几何流, 得到了这种流的一些精确解. 首先得到了初始度量为Einstein的解. 其次得到了具有轴对称的解. 最后,
作为这种流的特殊解, 定义了稳定耗散双曲Yamabe孤子, 而且给出了这种孤子解所满足的方程. |
| 英文摘要: |
| This paper introduces a new kind of geometric flow and obtains some interesting
exact solutions. Firstly, the solutions with an Einstein initial metric are given. Secondly,
some useful solutions with axial symmetry are derived. Finally, the authors define a steady
dissipative hyperbolic Yamabe soliton as a special solution and give the corresponding gov-
erning equation. |
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