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摘要: 给出加权熵沿加权热方程的单调性,研究了加权热核短时间的性态, 指出加权熵可以视作某种等周常数,并且利用它讨论流形的若干几何性质.
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关键词:
- 热核 /
- 权熵 /
- akry-Emery曲率张量 /
- 体积增长
Abstract: This paper gave the monotonicity of weighted entropy,studied the short time behavior of the weighted heat kernel, showedthe entropy can be regarded as an isoperimetric constant,and used it to discuss some geometric properties of the manifold.
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