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Semi-invariant Submersions from Almost Hermitian Manifolds

Published online by Cambridge University Press:  20 November 2018

Bayram Ṣahin
Bayram Ṣahin*
Affiliation:
Department of Mathematics, Inonu University, Malatya, Turkey e-mail: bsahin@inonu.edu.tr
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Abstract

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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.

Keywords

53B2053C43Riemannian submersionHermitian manifoldanti-invariant Riemannian submersionsemi-invariant submersion
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 1 , 01 March 2013 , pp. 173 - 183
Copyright
Copyright © Canadian Mathematical Society 2013

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