Bulletin of the
Korean Mathematical Society
BKMS

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

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2016; 53(2): 441-460

Printed March 31, 2016

https://doi.org/10.4134/BKMS.2016.53.2.441

Copyright © The Korean Mathematical Society.

H-v-semi-slant submersions from almost quaternionic Hermitian manifolds

Kwang-Soon Park

Sogang University

Abstract

We introduce the notions of h-v-semi-slant submersions and almost h-v-semi-slant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations, investigate the integrability of distributions, the geometry of foliations, and a decomposition theorem. We find a condition for such submersions to be totally geodesic. We also obtain an inequality of a h-v-semi-slant submersion in terms of squared mean curvature, scalar curvature, and h-v-semi-slant angle. Finally, we give examples of such maps.

Keywords: Riemannian submersion, slant angle, integrable, totally geodesic

MSC numbers: 53C15, 53C26