Abstract
There exists no advanced theory of foliations on non-compact (open) surfaces comparable to that of the compact case. This is due to the greater “freedom” of behaviour permitted to the leaves. Foliations on open surfaces are close to the line (of dimension 1) foliations in three-dimensional spaces; this is especially true for open surfaces of infinite genus. To a large extent, the theory of such foliations is a collection of examples of different effects which cannot take place on compact surfaces.
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Bibliographic Notes
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© 2001 Springer-Verlag Berlin Heidelberg
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Nikolaev, I. (2001). Non-compact Surfaces. In: Foliations on Surfaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04524-4_7
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DOI: https://doi.org/10.1007/978-3-662-04524-4_7
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