Hineva Inequality for Submanifolds of Real Space Forms with Semi-Symmetric Non-Metric Connection
Year: 2026
Type: preprint
Abstract: In this paper, we establish the Hineva inequality for submanifolds of a real space form endowed with a semi-symmetric non-metric connection. We derive a sharp lower bound for the Ricci curvature of the submanifold in terms of the mean curvature vector and the squared norm of the second fundamental form. We apply this inequality to derive the Hineva inequality for several classes of submanifolds.
Source: arXiv (Cornell University)
Authors: Lone, M. S., Lone, M. A.
Institution: University of Kashmir
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7163697281