8 papers
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…
Generalized Chen's inequalities for Riemannian submersions and Riemannian maps with Applications
Ravindra Singh
In this paper, we establish generalized B.-Y. Chen inequalities for Riemannian submersions and Riemannian maps between Riemannian manifolds by employing the generalized -invari…
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…
Reverse Ricci-Curvature Bounds for Riemannian Submersions and Riemannian Maps
Ravindra Singh
In this paper, we establish, for the first time, upper bounds of the Ricci--curvature for Riemannian submersions along the vertical distribution as well as along both the vertical…
General Chen-Ricci inequalities for Riemannian submersions and Riemannian maps
Ravindra Singh, Kiran Meena, Kapish Chand Meena
In this paper, we derive general forms of the Chen-Ricci inequalities for Riemannian submersions between Riemannian manifolds. We also derive general forms of the Chen-Ricci and im…
Optimal inequalities involving Casorati curvatures along Riemannian maps and Riemannian submersions for quaternionic space form
Ravindra Singh
In this paper, we establish Casorati inequalities for Riemannian maps and Riemannian submersions involving quaternionic space forms, and we provide geometric characterisations of t…