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.
Kwang-Soon Park
Sogang University
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
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