关于函数的Lichnerowicz型上同调
On a Lichnerowicz type cohomology attached to a function
摘要：
本文定义了光滑流形上一个新的上同调，称为Lichnerowicz型上同调。首先，我们研究了这种上同调的一些基本性质：de Rham型同构，对函数的依赖性，奇异形式，相对上同调，Mayer-Vietoris序列，同伦不变性，其次，考虑了正则情形。这些概念是使用技术从研究两个上同调的光滑流形：Lichnerowicz上同调和上同调附加到一个功能。
英文摘要：
In this paper we define a new cohomology of a smooth manifold called Lichnerowicz type cohomology attached to a function. Firstly, we study some basic properties of this cohomology as: a de Rham type isomorphism, dependence on the function, singular forms, relative cohomology, Mayer-Vietoris sequence, homotopy invariance and next, a regular case is considered. The notions are introduced using techniques from the study of two cohomologies of a smooth manifold: the Lichnerowicz cohomology and the cohomology attached to a function.
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