Abstract
The theory of foliations has one of its roots in the study of the solution curves of ordinary differential equations on ℝ2 or, more generally, of vector fields on surfaces. This is one reason why we start our investigations of foliations on manifolds with vector fields on surfaces. Another reason for this approach is the fact that many of the phenomena on manifolds of higher dimensions which will be studied in this book already appear on surfaces and can be most easily described there.
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© 1981 Springer Fachmedien Wiesbaden
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Hector, G., Hirsch, U. (1981). Foliations on Compact Surfaces. In: Introduction to the Geometry of Foliations, Part A. Aspects of Mathematics / Aspekte der Mathematik. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-98482-1_1
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DOI: https://doi.org/10.1007/978-3-322-98482-1_1
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-322-98483-8
Online ISBN: 978-3-322-98482-1
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