Lagrangian Mechanics on the standard Cliffordian Kaehler Manifolds
Mehmet Tekkoyun
TL;DR
This paper develops a Lagrangian mechanics framework on standard Cliffordian Kaehler manifolds, exploring geometric and physical properties of related dynamical systems.
Contribution
It introduces a novel geometric setting for Lagrangian mechanics using Cliffordian Kaehler manifolds, extending classical mechanics to this new context.
Findings
Derived geometric and physical results for Cliffordian Kaehler dynamical systems
Extended Lagrangian mechanics to Cliffordian Kaehler manifolds
Provided foundational framework for future studies in this area
Abstract
This study presents standard Cliffordian Kaehler analogue of Lagrangian mechanics. Also, the some geometric and physical results related to the standard Cliffordian Kaehler dynamical systems are given.
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 · Geometric Analysis and Curvature Flows · Algebraic and Geometric Analysis