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Injectivity radius and diameter of the manifolds of flags in the projective planes

Injectivity radius and diameter of the manifolds of flags in the projective planes The manifolds of flags in the projective planes [InlineMediaObject not available: see fulltext.] are among the very few compact manifolds that are known to admit metrics with positive sectional curvature. They also arise as isoparametric hypersurfaces in spheres. We show how their appearance in these two fields is related and study the global geodesic geometry of these spaces in detail. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

Injectivity radius and diameter of the manifolds of flags in the projective planes

Püttmann, Thomas
Mathematische Zeitschrift , Volume 246 (4) – Jan 14, 2004
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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-003-0613-0
Publisher site
See Article on Publisher Site

Abstract

The manifolds of flags in the projective planes [InlineMediaObject not available: see fulltext.] are among the very few compact manifolds that are known to admit metrics with positive sectional curvature. They also arise as isoparametric hypersurfaces in spheres. We show how their appearance in these two fields is related and study the global geodesic geometry of these spaces in detail.

Journal

Mathematische Zeitschrift – Springer Journals

Published: Jan 14, 2004

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