FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 2, PAGES 139-146

**Almost $C($l)-manifolds**

S. V. Kharitonova

Abstract

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In this paper, we study almost $C($l)-manifolds.
We obtain necessary and sufficient conditions for an almost contact
metric manifold to be an almost $C($l)-manifold.
We prove that contact analogs of A. Gray's second and third
curvature identities on almost $C($l)-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 $C($l)-manifold is a manifold of constant
curvature $$l.

Location: http://mech.math.msu.su/~fpm/eng/k10/k102/k10214h.htm

Last modified: April 5, 2011