On a Lichnerowicz type cohomology attached to a function
Differential Geometry
2016-06-21 v3
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.
Cite
@article{arxiv.1205.0905,
title = {On a Lichnerowicz type cohomology attached to a function},
author = {Cristian Ida},
journal= {arXiv preprint arXiv:1205.0905},
year = {2016}
}
Comments
To appear in Topology and its Applications 2016. arXiv admin note: text overlap with arXiv:math/0212045 by other authors