Higher-Order Geodesic Equations from Non-Local Lagrangians and Complex Backward-Forward Derivative Operators-Reference-Cited by-同舟云学术

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

Published:2016-07-01 Issue:1 Volume:54 Page:139-157
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

El-Nabulsi Rami Ahmad¹

Affiliation:

1. Athens Institute for Education and Research, Mathematics and Physics Divisions, 8 Valaoritou Street, Kolonaki, 10671, Athens, Greece

Abstract

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.

Publisher

Walter de Gruyter GmbH

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