Elliptic translators on manifolds with point singularities

Elliptic translators on manifolds with point singularities
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具有点奇点的流形上的椭圆翻译器

DOI:
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发表时间:
2012
期刊:
影响因子:
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通讯作者:
B. Sternin
B. Sternin
中科院分区:
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文献类型:
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作者:
A. Savin;B. Sternin

文献摘要

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我们考虑光滑流形的横交型奇点流形上的平移子。给出了平移算子椭圆性的定义,证明了有限性定理(Fredholm性质),并建立了点奇点情况下的指标公式。
We consider translators on manifolds with singularities of the type of a transversal intersection of smooth manifolds. We give the definition of ellipticity of translators, prove the finiteness (Fredholm property) theorem, and establish an index formula for the case of point singularities.