Slant submersions from almost Hermitian manifolds

2010/06/01 by Sahin, Bayram · 1 citation
#53B20 #53C15 #53C43 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1006.0081

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.

Cited by

• General Chen-Ricci inequalities for Riemannian submersions and Riemannian maps

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• Slant Riemannian maps from almost Hermitian manifolds
• Semi-slant submersions
• Almost h-conformal slant submersions from almost quaternionic Hermitian manifolds
• V-semi-slant submersions
• Semi-slant Riemannian maps