Slant submersions from almost Hermitian manifolds

Bayram Sahin

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arXiv · 1006.0081

Slant submersions from almost Hermitian manifolds

Bayram Sahin

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Abstract

We introduce slant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of such submersions. We also find necessary and sufficient conditions for a slant submersion to be totally geodesic. Moreover, we obtain a decomposition theorem for the total manifold of such submersions.

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Bayram Sahin. 2010-06-01. Slant submersions from almost Hermitian manifolds. https://arxiv.org/abs/1006.0081

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