On the Study of Jacobi Fields in Riemannian Manifolds
Keywords:
Riemanign curvature, Sectional curvature, Jacobi equation, JacobifieldAbstract
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. Â Â
doi: 10.3329/bjsir.v43i4.2242
Bangladesh J. Sci. Ind. Res. 43(4), 521-528, 2008
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