Semi-invariant Submersions from Almost Hermitian Manifolds

By Bayram Sahin. Canadian mathematical bulletin, 2010

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Abstract We introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations that arise from the definition of a Riemannian submersion, and find necessary sufficient conditions for total manifold to be a locally product Riemannian manifold. We also find necessary and sufficient conditions for a semi-invariant submersion to be totally geodesic. Moreover, we obtain a classification for semi-invariant submersions with totally umbilical fibers and show that such submersions put some restrictions on total manifolds.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

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