On the v-semi-slant submersions from almost Hermitian manifolds
Commun. Korean Math. Soc.
Published online September 7, 2020
Kwang-Soon Park
University of Seoul
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
MSC numbers : 53C15; 53C43
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