论文标题

来自Kaehler歧管的通用Riemannian淹没

Generic Riemannian submersions from nearly Kaehler manifolds

论文作者

Kaushal, Rupali, Sachdeva, Rashmi, Kumar, Rakesh, Nagaich, R. K.

论文摘要

我们研究了几乎Kaehler歧管上的Riemannian淹没到Riemannian歧管上。我们研究了为通用riemannian浸入而产生的各种分布的整合性的条件,并获得了叶子的条件,使其完全是大地叶的。我们获得了通用的riemannian浸没的条件,使其成为完全的地图,还研究了具有完全脐带纤维的通用riemannian浸没。最后,我们得出了通用riemannian浸入谐波图的条件。

We study generic Riemannian submersions from nearly Kaehler manifolds onto Riemannian manifolds. We investigate conditions for the integrability of various distributions arising for generic Riemannian submersions and also obtain conditions for leaves to be totally geodesic foliations. We obtain conditions for a generic Riemannian submersion to be a totally geodesic map and also study generic Riemannian submersions with totally umbilical fibers. Finally, we derive conditions for generic Riemannian submersions to be harmonic map.

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