I-CONVEXITY OF MANIFOLDS WITH REAL PROJECTIVE-STRUCTURES

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We compare the notion of higher-dimensional convexity, as defined by Carriere, for real projective manifolds with the existence of hemispheres. We show that if an i-convex real projective manifold M of dimension n for an integer i with 0 < i < n has an i-dimensional hemisphere, then M is projectively homeomorphic to S-n/T where T is a finite subgroup of O(n + 1, R) acting freely on S-n.
Publisher
AMER MATHEMATICAL SOC
Issue Date
1994-10
Language
English
Article Type
Article
Citation

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.122, no.2, pp.545 - 548

ISSN
0002-9939
DOI
10.2307/2161047
URI
http://hdl.handle.net/10203/65836
Appears in Collection
MA-Journal Papers(저널논문)
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