Hamiltonian Mechanics on Quaternion Kaehler Manifolds
Mehmet Tekkoyun
TL;DR
This paper develops a quaternion Kaehler manifold framework for Hamiltonian mechanics, extending classical mechanics to a new geometric setting and exploring related dynamical systems.
Contribution
It introduces a quaternion Kaehler analogue of Hamiltonian mechanics, providing new geometric insights into dynamical systems on these manifolds.
Findings
Quaternion Kaehler Hamiltonian systems formulated
New properties of quaternion Kaehler dynamical systems identified
Extension of classical mechanics to quaternionic geometry
Abstract
The goal of this study is to present quaternion Kaehler analogue of Hamiltonian mechanics. Finally, the some results related to quaternion Kaehler dynamical systems were also 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 · Algebraic and Geometric Analysis · Noncommutative and Quantum Gravity Theories