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arXiv · 1603.09209

On nearly Sasakian and nearly cosymplectic manifolds

Antonio De Nicola·Giulia Dileo·Ivan Yudin
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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.

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Antonio De Nicola, Giulia Dileo, Ivan Yudin. 2016-03-30. On nearly Sasakian and nearly cosymplectic manifolds. https://doi.org/10.1007/s10231-017-0671-2

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