Lagrangian dynamics of submanifolds. Relativistic mechanics
G. Sardanashvily
TL;DR
This paper extends the geometric formulation of relativistic Lagrangian mechanics from one-dimensional submanifolds to submanifolds of any dimension, providing a more general theoretical framework.
Contribution
It generalizes the Lagrangian geometric formulation of relativistic mechanics to submanifolds of arbitrary dimension.
Findings
Unified geometric framework for relativistic mechanics of various submanifold dimensions
Extension of jet bundle formalism to higher-dimensional submanifolds
Potential applications in advanced theoretical physics
Abstract
Geometric formulation of Lagrangian relativistic mechanics in the terms of jets of one-dimensional submanifolds is generalized to Lagrangian theory of submanifolds of arbitrary dimension.
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Taxonomy
TopicsGeotechnical and Geomechanical Engineering