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arXiv math/9805047math.DGhep-thmath.SP
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计算热不变量的换位子法

A commutator method for computation of heat invariants

Iosif Polterovich

摘要:

本文在S.Agmon和Y. Kannai的一个结果的基础上,提出了一种计算二维黎曼流形热不变量的新方法.给出了热不变量的两个显式表达式。第一个依赖于某个坐标系的选择;第二个只涉及不变项,但对其有效性有一些限制,尽管在“一般”情况下它是定义良好的。

英文摘要:

We introduce a new method for computing the heat invariants of a 2-dimensional Riemannian manifold based on a result by S.Agmon and Y.Kannai. Two explicit expressions for the heat invariants are presented. The first one depends on the choice of a certain coordinate system; the second involves only invariant terms but has some restrictions on its validity, though in a ``generic'' case it is well-defined.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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