Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2013; 50(3): 951-962

Printed May 31, 2013

https://doi.org/10.4134/BKMS.2013.50.3.951

Copyright © The Korean Mathematical Society.

Semi-slant submersions

Kwang-Soon Park and Rajendra Prasad

Seoul National University, University of Lucknow

Abstract

We introduce semi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds as a generalization of slant submersions, semi-invariant submersions, anti-invariant submersions, etc. We obtain characterizations, investigate the integrability of distributions and the geometry of foliations, etc. We also find a condition for such submersions to be harmonic. Moreover, we give lots of examples.

Keywords: Riemannian submersion, slant angle, harmonic map, totally geodesic

MSC numbers: 53C15, 53C43