Riemannian Geometry of Contact and Symplectic Manifolds
Citations
14 citations
Cites background from "Riemannian Geometry of Contact and ..."
...[6]) that an almost contact metric manifold is cosymplectic if and only if ∇φ = 0, ∇ denoting the Levi-Civita connection....
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14 citations
14 citations
14 citations
14 citations
Cites background from "Riemannian Geometry of Contact and ..."
...(see [4]). A Sasakian manifold is K-contact, but the converse is not true, except in dimension 3. For a K-contact manifold we have [ 1 ]...
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...Conformally flat contact metric manifold has been studied by several authors (see [ 1 ], [20])....
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...lξ = 0, Tr ϕ = Trh = Tr ϕh = 0, hϕ =− ϕh. For a contact metric manifold, we also have [ 1 ]...
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...conformally flat M is of constant curvature 1 (see [ 1 ])....
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...Because it holds for many known examples, such as K-contact manifold, tangent sphere bundle of a Riemannian manifold of constant curvature and also on some 3-dimensional contact metric manifolds (see [ 1 ])....
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