Cayley Transform on Stiefel manifolds
Enrique Mac\'ias-Virg\'os, Mar\'ia Jos\'e Pereira-S\'aez, Daniel, Tanr\'e
TL;DR
This paper introduces a Cayley transform on Stiefel manifolds and explores its applications in topological and optimization contexts, providing new tools for mathematical analysis and problem-solving.
Contribution
The paper presents the first definition of a Cayley transform specifically on Stiefel manifolds, expanding the mathematical toolkit for these geometric structures.
Findings
Application to Lusternik-Schnirelmann category
Utility in optimization problems
New mathematical properties of the Cayley transform
Abstract
We define a Cayley transform on Stiefel manifolds. Applications to the Lusternik-Schnirelmann category and optimisation problems are presented.
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 · Advanced Topics in Algebra · Mathematics and Applications