Anti-Invariant Semi-Riemannian Submersions from Indefinite Almost Contact Metric Manifolds

Abstract

In this paper, we study an anti-invariant semi-Riemmannian submersions from indefinite almost contact metric manifolds. We obtain, the necessary and sufficient conditions for the characteristics vector filed to be vertical and horizontal. aMoreover, we find the conditions of integrability and hormonicness of this submersion map. Finally, we furnish an example of an anti-invariant semi-Riemannian submersion from indefinite almost contact metric manifold which is indefinite trans-Sasakian manifolds in the present paper.

Keywords

• semi-Riemannian submersion,Anti-invaraint submersion

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