Higher-Order Geodesic Equations from Non-Local Lagrangians and Complex Backward-Forward Derivative Operators
Abstract
Starting with an extended complex backwardforward derivative operator in differential geometry which is motivated from non-local-in-time Lagrangian dynamics, higher-order geodesic equations are obtained within classical differential geometrical settings. We limit our analysis up to the 2nd-order derivative where some applications are discussed and a number of features are revealed accordingly.
Language: English
Page range: 139 - 157
Submitted on: Feb 7, 2016
Accepted on: May 16, 2016
Published on: Sep 24, 2016
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: 1 times per year
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© 2016 Rami Ahmad El-Nabulsi, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.