2000 | OriginalPaper | Buchkapitel
Variations of Arc Length, Jacobi Fields, the Effect of Curvature
verfasst von : D. Bao, S.-S. Chern, Z. Shen
Erschienen in: An Introduction to Riemann-Finsler Geometry
Verlag: Springer New York
Enthalten in: Professional Book Archive
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In this section, we use the method of differential forms to describe the first variation. There is another approach which uses vector fields and covariant differentiation. That is explored in a series of guided exercises at the end of 5.2. (Those exercises involve the second variation as well.) A systematic self-contained account can also be found in [BC1].