42 citations · 109 across the 24 of their papers we have counts for
24 papers
Newman--Penrose formalism in -dimensional trans-Sasakian manifolds
Prachi, Marie-Amélie Lawn, Mukut Mani Tripathi
We study -dimensional trans-Sasakian manifolds using the Newman--Penrose formalism. In this framework, the geometry of the structure vector field is encoded by scalar spin coeff…
Casorati inequalities for Riemannian submersion along mixed distributions and their applications
Ravindra Singh, Mukut Mani Tripathi
This paper introduces Casorati inequalities for the normalised scalar curvature and normalised Casorati curvature of vertical and horizontal distributions for Riemannian submersion…
B.-Y. Chen's inequalities for Riemannian submersion and their applications
Ravindra Singh, Mukut Mani Tripathi
In this paper, we introduce B.-Y. Chen inequalities for Riemannian submersions between Riemannian manifolds. We derive these inequalities for vertical, horizontal, and mixed distri…
Geometry of lightlike hypersurfaces of a statistical manifold
Oguzhan Bahadir, Mukut Mani Tripathi
Lightlike hypersurfaces of a statistical manifold are studied. It is shown that a lightlike hypersurface of a statistical manifold is not a statistical manifold with respect to the…
Certain results on almost contact pseudo-metric manifolds
Venkatesha, Devaraja Mallesha Naik, Mukut Mani Tripathi
We study the geometry of almost contact pseudo-metric manifolds in terms of tensor fields and , emphasizing analogies and differences with…
Inequalities for algebraic Casorati curvatures and their applications
Mukut Mani Tripathi
The notion of different kind of algebraic Casorati curvatures are introduced. Some results expressing basic Casorati inequalities for algebraic Casorati curvatures are presented. E…