Semi-slant pseudo-Riemannian submersions from indefinite almost contact 3-structure manifolds onto pseudo-Riemannian manifolds

Shukla, S. S. and Verma, Uma Shankar (2017) Semi-slant pseudo-Riemannian submersions from indefinite almost contact 3-structure manifolds onto pseudo-Riemannian manifolds. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 33 (2). pp. 117-132. ISSN 0866-0174

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Abstract

In this paper, we introduce the notion of a semi-slant pseudo-Riemannian submersion from an indefinite almost contact 3-structure manifold onto a pseudo-Riemannian manifold. We investigate the geometry of foliations determined by horizontal and vertical distributions and provide a non-trivial example. We also find a necessary and sufficient condition for a semi-slant submersion to be totally geodesic. Moreover, we check the harmonicity of such submersions.

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