Generic Riemannian submersions

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Published: Dec 30, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1211
Keywords:
Riemannian submersions Generic Riemannian submersions Totally geodesic map.

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Tanveer Fatima
Shahid Ali

Abstract

B. Sahin [12] introduced the notion of semi-invariant Riemannian submersions as a generalization of anti-invariant Riemmanian submersions [11]. As a generalization to semi-invariant Riemannian submersions we introduce the notion of generic submersion from an almost Hermitian manifold onto a Riemannian manifold and investigate the geometry of foliations which arise from the definition of a generic Riemannian submersion and find necessary and sufficient condition for total manifold to be a generic product manifold. We also find necessary and sufficient conditions for a generic submersion to be totally geodesic.

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How to Cite
Fatima, T., & Ali, S. (2013). Generic Riemannian submersions. Tamkang Journal of Mathematics, 44(4), 395–409. https://doi.org/10.5556/j.tkjm.44.2013.1211
Issue
Vol. 44 No. 4 (2013)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Author Biographies

Tanveer Fatima

Department ofMathematics, AligarhMuslim University, Aligarh 202002, India.

Shahid Ali

Department ofMathematics, AligarhMuslim University, Aligarh 202002, India.

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