Generalized vector field
Saikat Chatterjee, Amitabha Lahiri
TL;DR
This paper introduces a framework for generalized vector fields, extending classical concepts like contraction, Lie derivatives, and commutators to a broader mathematical setting.
Contribution
It defines generalized vector fields and extends key operations such as contraction, Lie derivatives, and commutators within this new framework.
Findings
Established definitions for generalized vector fields
Extended contraction and Lie derivatives to the generalized setting
Defined generalized commutators
Abstract
We define generalized vector fields, and contraction and Lie derivatives with respect to them. Generalized commutators are also defined.
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 Topics in Algebra · Advanced Differential Equations and Dynamical Systems · Advanced Differential Geometry Research