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http://dx.doi.org/10.4134/BKMS.2016.53.2.441

H-V-SEMI-SLANT SUBMERSIONS FROM ALMOST QUATERNIONIC HERMITIAN MANIFOLDS  

Park, Kwang-Soon (Sogang Research Team for Discrete and Geometric Structures, Sogang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.2, 2016 , pp. 441-460 More about this Journal
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;
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Times Cited By KSCI : 2  (Citation Analysis)
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