3 papers
math.DG2026
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…
math.DG2026
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…
math.DG2026
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…