Manifolds of nonpositive curvature and their buildings

 Access to full text

 Full (PDF)

1. [B] W. BALLMANN, Nonpositively curved manifolds of higher rank, Ann. of Math., 122 (1985), 597-609. Zbl0585.53031MR87e:53059
2. [BBE] W. BALLMANN, M. BRIN and P. EBERLEIN, Structure of manifolds of non-positive curvature. I, Ann. of Math. 122 (1985), 171-203. Zbl0589.53047MR87c:58092a
3. [BBS] W. BALLMANN, M. BRIN and R. SPATZIER, Structure of manifolds of non-positive curvature. II, Ann. of Math., 122 (1985), 205-235. Zbl0598.53046MR87c:58092b
4. [Be] M. BERGER, Sur les groupes d'holonomie homogène des variétés à connexion affine et des variétés riemanniennes, Bull. Soc. Math. France, 83 (1955), 279-330. Zbl0068.36002MR18,149a
5. [BGS] W. BALLMANN, M. GROMOV and V. SCHROEDER, Manifolds of Nonpositive Curvature, Birkhäuser, Progress in Mathematics, 61 (1985). Zbl0591.53001MR87h:53050
6. [BS] K. BURNS and R. SPATZIER, On topological Tits buildings and their classification, Publ. Math. I.H.E.S., 65 (1987), 5-34. Zbl0643.53036MR88g:53049
7. [Bou] N. BOURBAKI, Groupes et Algèbres de Lie, chap. IV, V, VI, Eléments de Mathématique, fasc. XXXIV, Paris, Hermann (1968). 
8. [E1] P. EBERLEIN, Rigidity problems of manifolds of nonpositive curvature, Preprint (1985). 
9. [E2] P. EBERLEIN, Isometry groups of simply connected manifolds of nonpositive curvature. II, Acta Mathematica, 149 (1982), 41-69. Zbl0511.53048MR83m:53055
10. [EO] P. EBERLEIN and B. O'NEILL, Visibility manifolds, Pacific J. Math., 46 (1973), 45-109. Zbl0264.53026MR49 #1421
11. [KN] S. KOBAYASHI and K. NOMIZU, Foundations of Differential Geometry, vol. I, New York, Wiley (1963). Zbl0119.37502MR27 #2945
12. [M] G. D. MOSTOW, Strong Rigidity of Locally Symmetric Spaces, Annals of Math. Studies, No. 78, Princeton, New Jersey, Princeton University Press (1973). Zbl0265.53039MR52 #5874
13. [Ma] G. A. MARGULIS, Discrete Groups of Motions of Manifolds of Nonpositive Curvature, A.M.S. Translations, 109 (1977), 33-45. Zbl0367.57012
14. [S] R. J. SPATZIER, The geodesic flow and an approach to the classification of manifolds of nonpositive curvature, M.S.R.I. Berkeley Preprint 004-84 (1984). 
15. [Si] J. SIMONS, On transitivity of holonomy systems, Ann. of Math., 76 (1962), 213-234. Zbl0106.15201MR26 #5520
16. [Sp] E. H. SPANIER, Algebraic Topology, McGraw-Hill (1966). Zbl0145.43303MR35 #1007
17. [T] J. TITS, Buildings of Spherical Type and Finite BN-pairs, Springer Lecture Notes in Mathematics, 386 (1970). Zbl0295.20047MR57 #9866

1. Sylvain Barré, Polyèdres finis de dimension 2 à courbure $\le 0$ et de rang 2
2. Werner Ballmann, On the Dirichlet problem at infinity for manifolds of non-positive curvature (résumé)
3. Keith Burns, Ralf Spatzier, On topological Tits buildings and their classification
4. Patrick Eberlein, Jens Heber, A differential geometric characterization of symmetric spaces of higher rank
5. Sylvain Barré, Sur les polyèdres de rang 2
6. Werner Ballmann, Michael Brin, Orbihedra of nonpositive curvature
7. Pierre Pansu, Le flot géodésique des variétés riemanniennes à courbure négative