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

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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

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