Mathematics – Metric Geometry
Scientific paper
2009-05-06
Geom. Funct. Anal. 21, no. 3, 525-559 (2011)
Mathematics
Metric Geometry
34 pages. An intrinsic version of the results has been added. Proof of the Center Conjecture for spherical buildings of classi
Scientific paper
10.1007/s00039-011-0118-7
We prove that a convex subcomplex of a spherical building of type F4 or E6 is
a subbuilding or the automorphisms of the subcomplex fix a point on it. Our
approach is differential-geometric and based on the theory of metric spaces
with curvature bounded above. We use these techniques also to give another
proof of the same result for the spherical buildings of classical type.
Leeb Bernhard
Ramos-Cuevas Carlos
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