Centers of convex subsets of buildings

Annals of Global Analysis and Geometry

Volumn 28, Issue 2, 2005, Pages 201-209

  Balser, Andreas ^a   Lytchak, Alexander ^b  

^a UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

Buildings; CAT(1) spaces; Fixed points; Isometry groups

Indexed keywords

EID: 26844552429     PISSN: 0232704X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10455-005-7277-4     Document Type: Article

References (9)

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2. Balser, A. and Lytchak, A.: Building-like spaces, 2004, Preprint; Arxiv: math.MG/0410437.
3. Bridson, M. R. and Haefliger, A.: 1999, Metric Spaces of Non-Positive Curvature, Springer, Berlin.
4. Fujiwara, K., Nagano, K. and Shioya, T.: Fixed points sets of parabolic isometries of CAT(0)-spaces, 2004, Preprint; Arxiv: math.DG/0408347.
5. Kleiner, B.: The local structure of length spaces with curvature bounded above, Math. Z. 231(3) (1999), 409-456.
6. Kleiner, B. and Leeb, B.: Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Inst. Hautes Études Sci. Publ. Math. 86 (1997), 115-197.
7. Kleiner, B. and Leeb, B.: Rigidity of invariant convex sets in symmetric spaces, 2004, Preprint; Arxiv: math.DG/0412123.
8. Lang, U. and Schroeder, V.: Jung's theorem for Alexandrov spaces of curvature bounded above, Ann. Global Anal. Geom. 15(3) (1997), 263-275.
9. Lytchak, A.: Rigidity of spherical buildings and joins, Geom. Funct. Anal. 15(3) (2005), to appear.