On a Lichnerowicz type cohomology attached to a function

Cristian Ida

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arXiv · 1205.0905

On a Lichnerowicz type cohomology attached to a function

Cristian Ida

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Abstract

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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BibTeX RIS

Cristian Ida. 2016-06-19. On a Lichnerowicz type cohomology attached to a function. https://arxiv.org/abs/1205.0905

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