On nearly Sasakian and nearly cosymplectic manifolds

On nearly Sasakian and nearly cosymplectic manifolds

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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Veröffentlicht in:arXiv.org 2017-05
Hauptverfasser: De Nicola, Antonio, Dileo, Giulia, Yudin, Ivan
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Differential Geometry
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1603.09209