On nearly Sasakian and nearly cosymplectic manifolds
arXiv:1603.09209 · doi:10.1007/s10231-017-0671-2
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.
11 pages, to appear in Annali di Matematica Pura e Applicata