CR-Lightlike Submanifolds of a Golden Semi-Riemannian Manifold
Mobin Ahmad, Mohammad Aamir Qayyoom
TL;DR
This paper explores the properties of CR-lightlike submanifolds within golden semi-Riemannian manifolds, including geodesic, totally geodesic, and totally umbilical cases, with new examples and theoretical results.
Contribution
It introduces the concept of CR-lightlike submanifolds in golden semi-Riemannian manifolds and provides new theoretical insights and examples for their geometric properties.
Findings
Characterization of geodesic CR-submanifolds
Results on totally geodesic and totally umbilical CR-submanifolds
Construction of a non-trivial example of CR-lightlike submanifold
Abstract
In this paper, we define and study CR-lightlike submanifolds of a golden semi-Riemannian manifold. We investigate some properties of geodesic CR-submanifolds of a golden semi-Riemannian manifold. Moreover, we obtain many interesting results for totally geodesic and totally umbilical CR-submanifolds on a golden Riemannian manifold. A non-trivial example of CR-lightlike submanifold of a golden semi-Riemannian manifold is also constructed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · 3D Shape Modeling and Analysis · Point processes and geometric inequalities