An Introduction to Riemann-Finsler Geometry pp 111-138 | Cite as
Variations of Arc Length, Jacobi Fields, the Effect of Curvature
Chapter
Abstract
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].
Keywords
Reference Vector Finsler Manifold Finsler Geometry Jacobi Field Chern Connection
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References
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