Basic Morse-Novikov cohomology for foliations
Differential Geometry
2020-07-30 v2
Abstract
In this paper we find sufficient conditions for the vanishing of the Morse-Novikov cohomology on Riemannian foliations. We work out a Bochner technique for twisted cohomological complexes, obtaining corresponding vanishing results. Also, we generalize for our setting vanishing results from the case of closed Riemannian manifolds. Several examples are presented, along with applications in the context of l.c.s. and l.c.K. foliations.
Keywords
Cite
@article{arxiv.1410.8748,
title = {Basic Morse-Novikov cohomology for foliations},
author = {Liviu Ornea and Vladimir Slesar},
journal= {arXiv preprint arXiv:1410.8748},
year = {2020}
}
Comments
21 pages. To appear in Mathematische Zeitschrift