Abstract
Throughout this chapter, by a manifold, we shall mean a C∝ manifold, for simplicity of language. Vector fields, forms and other objects will also be assumed to be C∝ unless otherwise specified. We let X be a manifold. We denote the R-vector space of vector fields by ΓT(X). Observe that ΓT(X) is also a module over the ring of functions *** = ***∝(X) = Fu(X).
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© 1999 Springer Science+Business Media New York
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Lang, S. (1999). Covariant Derivatives and Geodesics. In: Fundamentals of Differential Geometry. Graduate Texts in Mathematics, vol 191. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0541-8_8
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DOI: https://doi.org/10.1007/978-1-4612-0541-8_8
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