2 citations · 2 across the 8 of their papers we have counts for
9 papers
Ricci curvature bounds for Statistical Submersions
Ravindra Singh
In this paper, we study Ricci curvature bounds for statistical submersions from a direct Ricci-curvature perspective. Although Chen--Ricci inequalities for statistical submersions…
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 -invaria…
Chen-Ricci and Hineva Inequalities For Riemannian Submersions and Riemannian Maps With Applications
Ravindra Singh
The Chen--Ricci inequality provides a sharp upper estimate for the Ricci curvature in terms of the ambient curvature and the squared mean curvature, whereas the Hineva inequality g…
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…
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…
General Casorati inequalities and implications for Riemannian maps and Riemannian submersions
Ravindra Singh, Kiran Meena, Kapish Chand Meena
This paper presents general forms of Casorati inequalities for Riemannian maps and Riemannian submersions between Riemannian manifolds. Using these general forms, we obtain Casorat…
General Chen's first inequality and applications for Riemannian maps
Ravindra Singh, Kiran Meena, Kapish Chand Meena
In this paper, we propose \textit{general Chen's first inequality} for Riemannian maps between Riemannian manifolds and manifest its equality and sharpness via non-trivial examples…
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…