Lagrangian Mechanics on Quaternion Kaehler Manifolds
Mehmet Tekkoyun
TL;DR
This paper develops a quaternion Kähler geometric framework for Lagrangian mechanics, extending classical mechanics into quaternionic geometry and exploring related dynamical systems.
Contribution
It introduces a quaternion Kähler analogue of Lagrangian mechanics, combining geometric and physical insights into quaternionic dynamical systems.
Findings
Formulation of Lagrangian mechanics on quaternion Kähler manifolds
Derivation of equations of motion in quaternionic setting
Analysis of physical implications for quaternion Kähler dynamical systems
Abstract
The aim of this study is to introduce quaterinon Kaehler analogue of Lagrangian mechanics. Finally, the geometric and physical results related to quaternion Kaehler dynamical systems are also presented.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Algebraic and Geometric Analysis · Advanced Mathematical Theories and Applications