On the Study of Jacobi Fields in Riemannian Manifolds

Authors

  • Khondokar M Ahmed Department of Mathematics, University of Dhaka, Dhaka-1000

DOI:

https://doi.org/10.3329/bjsir.v43i4.2242

Keywords:

Riemanign curvature, Sectional curvature, Jacobi equation, Jacobifield

Abstract

A new approach of finding a Jacobi field equation with the relation between curvature and geodesics of a Riemanian manifold M has been derived. Using this derivation we have made an attempt to find a standard form of this equation involving sectional curvature K and other related objects.

Key words: Riemanign curvature, Sectional curvature, Jacobi equation, Jacobifield.   

doi: 10.3329/bjsir.v43i4.2242

Bangladesh J. Sci. Ind. Res. 43(4), 521-528, 2008

Downloads

Download data is not yet available.
Abstract
89
PDF
76

Downloads

How to Cite

Ahmed, K. M. (2009). On the Study of Jacobi Fields in Riemannian Manifolds. Bangladesh Journal of Scientific and Industrial Research, 43(4), 521–528. https://doi.org/10.3329/bjsir.v43i4.2242

Issue

Vol. 43 No. 4 (2008)

Section

Articles

License

Bangladesh Council of Scientific and Industrial Research (BCSIR) holds the copyright to all contents published in Bangladesh Journal of Scientific and Industrial Research (BJSIR). A copyright transfer form should be signed by the author(s) and be returned to BJSIR.

The entire contents of the BJSIR are protected under Bangladesh Council of Scientific and Industrial Research (BCSIR) copyrights.

Creative Commons Licence
BJSIR is an open access journal, and articles are distributed under the terms of the Creative Commons Attribution-NonCommercial License (CC BY-NC) Creative Commons Attribution-NonCommercial 4.0 International License which allows others remix, tweak, and build upon the articles non-commercially, and although their new works must also acknowledge and be non-commercial, they don’t have to license their derivative works on the same terms.