JP Journal of Geometry and Topology
Volume 20, Issue 3, Pages 211 - 228
(August 2017) http://dx.doi.org/10.17654/GT020030211 |
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SEMI-INVARIANT -SUBMERSIONS FROM GENERALIZED QUASI-SASAKIAN MANIFOLDS
Chul Woo Lee and Jae Won Lee
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Abstract: A structure on almost contact metric manifold is defined as a generalization of well-known cases: Sasakian, quasi-Sasakian, Kenmotsu, cosymplectic. We introduce semi-invariant -submersions from a manifold with such structure onto a Riemannian manifold. We give examples, investigate the geometry of foliations defined from a Riemannian submersion, and find necessary and sufficient conditions for a semi-invariant -submersion to be totally geodesic. |
Keywords and phrases: generalized quasi-Sasakian manifold, Riemannian submersion, semi-invariant -submersion. |
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