On nearly Sasakian and nearly cosymplectic manifolds
Differential Geometry
2019-10-28 v2
Abstract
We prove that every nearly Sasakian manifold of dimension greater than five is Sasakian. This provides a new criterion for an almost contact metric manifold to be Sasakian. Moreover, we classify nearly cosymplectic manifolds of dimension greater than five.
Keywords
Cite
@article{arxiv.1603.09209,
title = {On nearly Sasakian and nearly cosymplectic manifolds},
author = {Antonio De Nicola and Giulia Dileo and Ivan Yudin},
journal= {arXiv preprint arXiv:1603.09209},
year = {2019}
}
Comments
11 pages, to appear in Annali di Matematica Pura e Applicata