Auto-parallel equation as Euler-Lagrange's equation in spaces with affine connections and metrics
Sawa Manoff
TL;DR
This paper demonstrates that the auto-parallel equation in spaces with affine connections and metrics can be derived as an Euler-Lagrange equation using the method of Lagrangians with covariant derivatives.
Contribution
It introduces a novel approach to deriving auto-parallel equations as Euler-Lagrange equations within the framework of affine connection and metric spaces.
Findings
Auto-parallel equations derived as Euler-Lagrange equations
Application of MLCD to spaces with affine connections
New perspective on variational principles in geometric spaces
Abstract
The auto-parallel equation over spaces with affine connections and metrics is considered as a result of the application of the method of Lagrangians with covariant derivatives (MLCD) on a given Lagrangian density.
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