Structure theorem for Riemannian surfaces with arbitrary curvature

Structure theorem for Riemannian surfaces with arbitrary curvature

In this paper we prove that any Riemannian surface, with no restriction of curvature at all, can be decomposed into blocks belonging just to some of these types: generalized Y-pieces, generalized funnels and halfplanes.

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Veröffentlicht in:Mathematische Zeitschrift 2012-06, Vol.271 (1-2), p.45-62
Hauptverfasser: Portilla, Ana, Rodríguez, Jose M., Tourís, Eva
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper we prove that any Riemannian surface, with no restriction of curvature at all, can be decomposed into blocks belonging just to some of these types: generalized Y-pieces, generalized funnels and halfplanes.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-011-0851-5