On a Lichnerowicz type cohomology attached to a function
arXiv:1205.0905
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.
To appear in Topology and its Applications 2016. arXiv admin note: text overlap with arXiv:math/0212045 by other authors