Quasi hemi-slant pseudo-Riemannian submersions in para-complex geometry

Abstract

We introduce a new class of pseudo-Riemannian submersions which are called quasi hemi-slant pseudo-Riemannian submersions from para-Kaehler manifolds to pseudo-Riemannian manifolds as a natural generalization of slant submersions, semi-invariant submersions, semi-slant submersions and hemislant Riemannian submersions in our study. Also, we give non-trivial examples of such submersions. Further, some geometric properties with two types of quasi hemi-slant pseudo-Riemannian submersions are investigated

Keywords

• Quasi hemi-slant submersion
• hemi-slant submersion
• para-Kaehler manifold
• pseudo-Riemannian submersion

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