I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2010, VOLUME 16, NUMBER 2, PAGES 139-146
S. V. Kharitonova
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In this paper, we study almost -manifolds.
We obtain necessary and sufficient conditions for an almost contact
metric manifold to be an almost -manifold.
We prove that contact analogs of A. Gray's second and third
curvature identities on almost -manifolds
hold, while a contact analog of A. Gray's first identity holds if
and only if the manifold is cosymplectic.
It is proved that a conformally flat, almost -manifold is a manifold of constant
Last modified: April 5, 2011