JACOBI FIELDS ON THE MANIFOLD OF FREUND

Authors

  • Muhammad Shoaib Arif Beijing Institute of Technology - School of Mathematics
  • Zhang Er-chuan Beijing Institute of Technology - School of Mathematics
  • Sun Hua-fei Beijing Institute of Technology - School of Mathematics

Keywords:

Freund manifold, Riemannian metric, α-connection, α-curvature tensor, Jacobi field

Abstract

In this paper, the geometric structures of Freund manifold are considered By defining a Riemannian metric, the curvature tensor and the scalar curvature are given.  Then, the Jacobi fields on the Freund manifold have been considered to investigate the instability of the geodesics in view of differential geometry.  Moreover, we take submanifold of Freund manifold as an example to illustrate our results.

Cover of n°34 Italian Journal of Pure and Applied Mathematics

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Published

2015-06-30

How to Cite

Arif, M. S., Er-chuan, Z., & Hua-fei, S. (2015). JACOBI FIELDS ON THE MANIFOLD OF FREUND. Italian Journal of Pure and Applied Mathematics, 34, 181–188. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6343

Issue

N°34 - June 2015

Section

Articoli - Forum Editrice

License

Copyright (c) 2015 Muhammad Shoaib Arif, Zhang Er-chuan, Sun Hua-fei

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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