Zusammenfassung
This paper is a contribution to the topological study of vector fields on manifolds. In particular we shall be concerned with the problems of existence of r linearly independent vector fields. For r = 1 the classical result of H. Hopf asserts that the vanishing of the Euler characteristic is the necessary and sufficient condition, and our results will give partial extensions of Hopfs theorem to the case r > 1. A recent article by E. Thomas [10] gives a good survey of work in this general area.
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References
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Atiyah, M.F. (1970). Vector Fields on Manifolds. In: Vector Fields on Manifolds. Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen, vol 200. VS Verlag für Sozialwissenschaften, Wiesbaden. https://doi.org/10.1007/978-3-322-98503-3_1
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DOI: https://doi.org/10.1007/978-3-322-98503-3_1
Publisher Name: VS Verlag für Sozialwissenschaften, Wiesbaden
Print ISBN: 978-3-322-97941-4
Online ISBN: 978-3-322-98503-3
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