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http://dx.doi.org/10.4134/CKMS.c200151

ON THE V-SEMI-SLANT SUBMERSIONS FROM ALMOST HERMITIAN MANIFOLDS  

Park, Kwang Soon (Division of General Mathematics University of Seoul)
Publication Information
Communications of the Korean Mathematical Society / v.36, no.1, 2021 , pp. 173-187 More about this Journal
Abstract
In this paper, we deal with the notion of a v-semi-slant submersion from an almost Hermitian manifold onto a Riemannian manifold. We investigate the integrability of distributions, the geometry of foliations, and a decomposition theorem. Given such a map with totally umbilical fibers, we have a condition for the fibers of the map to be minimal. We also obtain an inequality of a proper v-semi-slant submersion in terms of squared mean curvature, scalar curvature, and a v-semi-slant angle. Moreover, we give some examples of such maps and some open problems.
Keywords
Riemannian submersion; slant angle; totally geodesic;
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Times Cited By KSCI : 2  (Citation Analysis)
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