Higher-Order Geodesic Equations from Non-Local Lagrangians and Complex Backward-Forward Derivative Operators

Rami Ahmad El-Nabulsi

doi:10.1515/awutm-2016-0008

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Higher-Order Geodesic Equations from Non-Local Lagrangians and Complex Backward-Forward Derivative Operators

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 54 (2016): Issue 1 (July 2016)

By: Rami Ahmad El-Nabulsi

Open Access

|Sep 2016

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 2^nd-order derivative where some applications are discussed and a number of features are revealed accordingly.

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Articles in this issue

DOI: https://doi.org/10.1515/awutm-2016-0008 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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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: Volume open

Keywords:

Non-local-in-time Lagrangians,

Extended complex backward-forward derivative operator,

higher-order geodesic equations,

higher-order geodesic deviation equations,

complexified metric

Related subjects:

Mathematics,

General mathematics

© 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.

Volume 54 (2016): Issue 1 (July 2016)