Riemannian Geometry of Contact and Symplectic Manifolds
Citations
16 citations
16 citations
Cites background from "Riemannian Geometry of Contact and ..."
...Let M be a (2n + 1)-dimensional connected differentiable manifold endowed with an almost contact metric structure (φ, ξ, η, 1), where φ is a tensor field of type (1, 1), ξ is a vector field, η is a 1-form and 1 is the Riemannian metric on M such that ([4], [5]) φ2X = −X + η(X)ξ, (5)...
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16 citations
Cites background from "Riemannian Geometry of Contact and ..."
...Since Ric = 2ng, it follows that (g, ξ′) is K–contact (see [2], Theorem 7....
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16 citations
16 citations
Cites background from "Riemannian Geometry of Contact and ..."
...[7], [9]), as well as the almost para-contact ones are used in physics (see [4], [20])....
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...special connections, namely Vranceanu connections (see [6], [30]) on foliated manifolds and adapted connections (see [15]) on almost contact manifolds (see [7])....
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...(23) From (23) one may easily deduce that φξ = 0 and η ◦ φ = 0 (see [7])....
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