SÍMBOLOS DE CHRISTOFFEL VIA FORMALISMO LAGRANGEANO
Abstract
In this work the Euler-Lagrange formalism is used to describe the geodetic equations based on covariant derivatives to obtain the Christoffel Symbols. Christoffel's Symbols and the demonstrations of these relations will serve to solve various problems in theory of general relativity, elasticity theory, fluid mechanics and electromagnetism. Christoffel symbols are used whenever practical calculations involving geometry are to be performed as they allow very complex calculations to be performed without confusion. Conversely, the formal notation for the Levi-Civita connection is elegant, and allows theorems to be established in a brief manner, but they are almost useless for practical calculations.
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References
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