CONVEX DECOMPOSITIONS OF REAL PROJECTIVE SURFACES .1. PI-ANNULI AND CONVEXITY

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A real projective surface is a surface with a flat real projective structure. A pi-annulus is an easy-to-construct real projective annulus with geodesic boundary. Let SIGMA be an orientable compact real projective surface with convex boundary and negative Euler characteristic. We prove that there is a pi-annulus with a projective map to SIGMA whenever SIGMA is not convex.
Publisher
LEHIGH UNIV
Issue Date
1994-07
Language
English
Article Type
Article
Keywords

MANIFOLDS

Citation

JOURNAL OF DIFFERENTIAL GEOMETRY, v.40, no.1, pp.165 - 208

ISSN
0022-040X
URI
http://hdl.handle.net/10203/7650
Appears in Collection
MA-Journal Papers(저널논문)
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