Normal Jacobi field on Riemannian manifold

Abdel-All, Nassar. H.; Abdel-Galil, E. I.

J. Math. Comput. Sci. 3 (2013), 1487–1508

Normal Jacobi field on Riemannian manifold

Nassar. H. Abdel-All, E. I. Abdel-Galil

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Abstract

In this paper we presents a brief instructions to find the Normal Jacobi field on a two dimensional Riemannian manifold (surfaces) by exact solution for the Jacobi field ordinary differential equation. The resulting solution can be easy plotted on the geodesics for some surfaces by using the Mathematica program command.

Published: 19 December 2013
Volume: 3 (2013)
License: CC BY 3.0

Copyright © 2013 Nassar. H. Abdel-All, E. I. Abdel-Galil. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

N. H. Abdel-All, E. I. Abdel-Galil, Normal Jacobi field on Riemannian manifold, J. Math. Comput. Sci. 3 (2013), 1487–1508.

BibTeX

@article{Abdel-All2013,
  author  = {Abdel-All, Nassar. H. and Abdel-Galil, E. I.},
  title   = {Normal Jacobi field on Riemannian manifold},
  journal = {J. Math. Comput. Sci.},
  volume  = {3},
  year    = {2013},
  pages   = {1487--1508},
  doi     = {}
}