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| Heat Kernel on Analytic Subvariety |
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Citation： |
Luobin FANG.Heat Kernel on Analytic Subvariety[J].Chinese Annals of Mathematics B,2020,41(2):227~240 |
| Page view： 843
Net amount： 703 |
Authors： |
Luobin FANG; |
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| Abstract： |
In this paper, the author extends Peter Li and Tian Gang's results
on the heat kernel from projective varieties to analytic varieties.
The author gets an upper bound of the heat kernel on analytic
varieties and proves several properties. Moreover, the results are
extended to vector bundles. The author also gets an upper bound of
the heat operators of some Schr\"ondinger type operators on vector
bundles. As a corollary, an upper bound of the trace of the heat
operators is obtained. |
Keywords： |
Heat kernel, Analytic subvariety, Schr"ondinger operator |
Classification： |
53C21, 53C55 32W30 |
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