SLANT RIEMANNIAN MAPS FROM ALMOST HERMITIAN MANIFOLDS

被引:20
|
作者
Sahin, Bayram [1 ]
机构
[1] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey
关键词
Riemannian map; Hermitian manifold; slant Riemannian map; SUBMERSIONS; SUBMANIFOLDS;
D O I
10.2989/16073606.2013.779968
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
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页码:449 / 461
页数:13
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