Riemannian Geometry of Contact and Symplectic Manifolds
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23 citations
Cites background from "Riemannian Geometry of Contact and ..."
...Y KAHLER MANIFOLDS 5¨ I denote by F the foliation generated by B and JB. Note also that the leaves of the foliation generated by the nullity of the Lee form carry an induced α-Sasakian structure (see [Blair] as concerns metric contact manifolds) with JB as characteristic (Reeb) vector field. If these foliations are quasi-regular, then the leaf spaces are, respectively, a Ka¨hler and a Sasakian orbifold. T...
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23 citations
Cites background from "Riemannian Geometry of Contact and ..."
...Then (φ, ξ, η, g) is an almost contact metric structure on M , see [1]....
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23 citations
Cites background from "Riemannian Geometry of Contact and ..."
...It is proven in [2] that the distribution generated by the Reeb vector fields ξ1, ξ2, ξ3 is integrable, defining a canonical totally geodesic and Rie- The online version of the original article can be found under doi:10.1007/s10455-007-9093-5....
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23 citations