Static fluid space time with three dimensional para contact metric manifolds as special component

Document Type : Original Article

Authors

Department of Mathematics, Bangalore University, Jnana Bharathi Campus, Bangalore -560 056, India

Abstract

This paper presents a study on static equations within three-dimensional almost paracontact metric manifolds. We prove that para-cosymplectic manifolds satisfying the static equation are either Ricci flat or gradient of function is collinear with ξ. In three-dimensional para-Kenmotsu manifolds, a non-trivial solution implies that either the scalar curvature is constant, and the manifold is Einstein with sectional curvature -1 or f is constant. Additionally, for trans-para-Sasakian manifolds, such a solution indicates that either the scalar curvature is constant and the manifold is Einstein, or it becomes a β-para-Kenmotsu manifold.

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References

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Journal of Finsler Geometry and its Applications
Volume 7, Issue 2
December 2026
Pages 97-110

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