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CONTACT MANIFOLDS
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We study the conformal curvature tensor and the contact conformal curvature tensor in Sasakian and/or K -contact manifolds. We find a necessary and sufficient condition for a Sasakian manifold to be φ -conformally flat. We also find some necessary conditions for a K -contact manifold to be φ -contact conformally flat. Then we give a structure theorem for φ -contact conformally flat Sasakian manifolds. It is also proved that a Sasakian manifold cannot be ξ -contact conformally flat.
Georgian Mathematical Journal – de Gruyter
Published: Jun 1, 2009
Keywords: K -contact manifold; Sasakian manifold; conformal curvature tensor; contact conformal curvature tensor
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