A Map which assigns each a Vector Function . Flows are generated by vector fields and vice versa. A vector field is a Section of its Tangent Bundle.

**References**

Gray, A. ``Vector Fields '' and ``Derivatives of Vector Fields .'' §9.4-9.5 in
*Modern Differential Geometry of Curves and Surfaces.* Boca Raton, FL: CRC Press, pp. 171-174 and 175-178, 1993.

Morse, P. M. and Feshbach, H. ``Vector Fields.'' §1.2 in
*Methods of Theoretical Physics, Part I.* New York: McGraw-Hill, pp. 8-21, 1953.

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1999-05-26