1,720 research outputs found
Slant Riemannian maps from almost Hermitian manifolds
As a generalization of holomorphic submersions, anti-invariant submersions
and slant submersions, we introduce slant Riemannian maps from almost Hermitian
manifolds to Riemannian manifolds. We give examples, obtain the existence
conditions of slant Riemannian maps and investigate harmonicity of such maps.
We also obtain necessary and sufficient conditions for slant Riemannian maps to
be totally geodesic and give a decomposition theorem for the total manifold.Comment: To appear in Quaestiones Mathematicae, 14 pages. arXiv admin note:
text overlap with arXiv:1006.0081, arXiv:1206.339
Generic Riemannian maps
WOS: 000406745600041As a generalization of semi-invariant Riemannian maps from almost Hermitian mani-fols, we first introduce generic Riemannian maps from almost Hermitian manifolds to Riemannian manifolds, give examples, obtain decomposition theorems and investigate harmonicity and totally geodesicity of such maps. Then as a generalization of semi-invariant Riemannian maps to almost Hermitian manifolds, we introduce generic Riemannian maps from Riemannian manifolds to almost Hermitian manifolds, give examples and find necessary and sufficient conditions for such maps to be totally geodesic. The harmonicity of generic Riemannian maps to Kahler manifolds is also investigated
Skew CR-warped products of Kaehler manifolds
Warped product CR-submanifolds of Kaehler manifolds were
introduced by Chen in [9]. In this paper, we introduce a
warped product skew-CR-submanifold, which is a generalization of
warped product CR-submanifolds. We give a characterization
supported by an example and obtain an inequality in terms of the
length of the second fundamental form of such submanifolds. The
equality case is also investigated
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