Nullity distributions associated to Cartan connection
Nabil L. Youssef, A. Soleiman, S. G. Elgendi
TL;DR
This paper investigates the nullity distributions of curvature tensors related to Cartan connections within the Klein-Grifone framework of global Finsler geometry, including special cases and concrete examples.
Contribution
It provides a detailed analysis of nullity distributions of Cartan curvature tensors in Finsler geometry using the Klein-Grifone approach, with new insights into special Finsler spaces.
Findings
Nullity distributions are characterized for three curvature tensors.
Nullity distributions are examined in specific Finsler space cases.
Concrete examples illustrate the theoretical results.
Abstract
The Klein-Grifone approach to global Finsler geometry is adopted. The nullity distributions of the three curvature tensors of Cartan connection are investigated. Nullity distributions concerning certain relevant special Finsler spaces are considered. Concrete examples are given whenever the situation needs.
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
TopicsAdvanced Differential Geometry Research