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University of Zürich - open access archive

 

books

  • Bruno Colbois, Christine Riedtmann, Viktor Schroeder - Editors
    math.ch/100
    Schweizerische Mathematische Gesellschaft
    1910-2010
    European Mathematical Society, EMS Publishing House, 2010

  • S. Buyalo, V. Schroeder
    Elements of Asymptotic Geometry
    EMS Monographs in Mathematics, EMS Publishing House, 2007  
  •  
  • W. Ballmann, M. Gromov, V. Schroeder
    Manifolds of nonpositive curvature
    Birkhäuser, Boston, Progress in Mathematics 61, 1985   

publications since 1984

  1. V. Schroeder, H. Shah
    Almost maximal volume entropy
    arXiv:1702.08859
  1. J. Beyrer, V. Schroeder
    Trees and ultrametric Möbius structures
    p-Adic Numbers, Ultrametric Analysis and Applications, Volume 9, Issue 4, 247 – 256 (2017)
  1. V. Schroeder, S. Weil
    The aperiodic complexities and connections to dimensions and Diophantine approximation
    Dynamics and numbers, Contemp. Math., 669, Amer. Math. Soc., Providence, RI, 237-259, (2016)
  1. I.D. Platis, V. Schroeder
    Moebius rigidity of invariant metrics in boundaries of symmetric spaces of rank 1
    Monatshefte für Mathematik (2016)
  1. S. Buyalo, V. Schroeder
    Incidence axioms for the boundary at infinity of complex hyperbolic spaces
    Analysis and Geometry in Metric Spaces, Volume 3, Issue 1, 244 - 277, electronic only (2015)
  1. R. Miao, V. Schroeder
    A flat strip theorem for ptolemaic spaces
    Math. Zeitschrift, Volume 272, Issue 1-2, 461 - 470 (2013)
  1. S. Weil, V. Schroeder
    Aperiodic sequences and Aperiodic Geodesics
    Ergodic Theory and Dynamical Systems (2013)
  1. U. Lang, V. Schroeder
    On Toponogov's comparison theorem for Alexandrov spaces
    L'Enseignement Mathématique, Volume 59(3-4), 325-336 (2013)
  1. R. Miao, V. Schroeder
    Hyperbolic Spaces and Ptolemy Moebius Structures
    arXiv:1210.5133
  1. S. Buyalo, V. Schroeder
    Moebius characterization of the boundary at infinity of rank one symmetric spaces
    Geometriae Dedicata (August 2013)
  1. Th. Foertsch, V. Schroeder
    Moebius characterization of hemispheres
    Archiv der Mathematik, no 99, 81 - 89 (2012)
  1. Th. Foertsch, V. Schroeder
    Ptolemy circles and Ptolemy segments
    Archiv der Mathematik, no 98, 571 - 581 (2012)
  1. V. Schroeder
    An introduction to asymptotic geometry
    Strasbourg Master Class on Geometry
    IRMA Lectures in Mathematics and Theoretical Physics
    Vol. 18, 405 - 454
    EMS Publishing House, 2012
  1. S. Buyalo, V. Schroeder
    Moebius structures and Ptolemy spaces boundary at infinity
    of complex hyperbolic spaces
    arXiv:math.MG/1012.1699
  1. Th. Foertsch, V. Schroeder
    Metric Möbius geometry and a characterization of spheres
    Manuscripta Mathematica, Volume 140, Issue 3-4, 613 - 620 (2013)
  1. Th. Foertsch, V. Schroeder
    Group actions on geodesic Ptolemy spaces
    Trans. Amer. Math. Soc. 363, no 6, 2891 - 2906 (2011)
  1. Th. Foertsch, V. Schroeder
    Hyperbolicity, CAT(-1)-spaces and the Ptolemy inequality
    Mathematische Annalen 350, 339 - 356 (2011)
  1. V. Schroeder, H. Shah
    On 3-dimensional Asymptotically Harmonic Manifolds
    Arch. Math. 90, no 3, 275-278 (2008) 
  1. Th. Foertsch, A. Lytchak, V. Schroeder
    Non-positive curvature and the Ptolemy inequality
    Int. Math. Res. Not. IMRN, No 22, Art. ID rnm100, 15 pp (2007)
  1. S. Buyalo, V. Schroeder
    Spaces of Curvature bounded above
    Surveys in Differential Geometry XI, 293 - 325 (2007)
  1. S. Buyalo, A. Dranishnikov, V. Schroeder
    Embedding of hyperbolic groups into products of binary trees
    Invent. Math. 169, 153 - 192 (2007)   
  1. A. Lytchak, V. Schroeder
    Affine functions on CAT-κ-spaces
    Math. Z. 255, no 2, 231 - 244 (2007)  
  1. A. Dranishnikov, V. Schroeder
    Aperiodic colorings and tilings of Coxeter groups
    Groups Geom. Dyn. 1, 301 - 318 (2007)
  1. S. Buyalo, V. Schroeder
    Hyperbolic dimension of metric spaces
    Algebra i Analyz 19 (1), 93 - 108 (2007)
  1. V. Schroeder
    Quasi-metric and metric spaces
    Conform. Geom. Dyn. 10, 355 - 360 (2006)
  1. E. Gutkin, V. Schroeder
    Connecting geodesics and security of configurations in compact locally symmetric spaces
    Geom. Dedicata 118, 185 - 208 (2006)
  1. A. Dranishnikov, V. Schroeder
    Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings
    arXiv:math.GR/0504566
  1. Th. Foertsch, V. Schroeder
    A product construction for hyperbolic metric spaces
    Illinois J. Math. 49, no 3, 793 - 810 (2005)
    arXiv:math.GR/0504566
  1. Th. Foertsch, V. Schroeder
    Hyperbolic Rank of Products
    Proc. Amer. Math. Soc. 133, no 2, 557 - 563 (2005) PDF
  1. T. Kappeler, S. Kuksin, V. Schroeder
    Poincaré inequalities for maps with target manifold of negative curvature
    Mosc. Math. J. 5, no 2, 399 - 414 (2005) PDF (revised version)
  1. S. Buyalo, V. Schroeder
    Embedding of hyperbolic spaces in the product of trees
    Geom. Dedicata 113, 75 - 93 (2005)
  1. Th. Foertsch, V. Schroeder
    Products of hyperbolic metric spaces
    Geom. Dedicata 102, 197 - 212 (2003) PDF
  1. A. Bernig, Th. Foertsch, V. Schroeder
    Non Standard Metric Products
    Beiträge Algebra Geom. 44, no 2, 499 - 510 (2003) PDF
  1. T. Kappeler, S. Kuksin, V. Schroeder
    Perturbations of the harmonic map equation
    Commun. Contemp. Math. 5, no 4, 629 - 669 (2003) PDF
  1. S. Buyalo, V. Schroeder
    Hyperbolic rank and subexponential corank of metric spaces
    Geom. Funct. Anal. 12, no 2, 293 - 306 (2002)
  1. Th. Foertsch, V. Schroeder
    Minkowski- Versus Euclidean Rank for Products of Metric Spaces
    Preprint no. 13-01 (2001) PDF
  1. S. Buyalo, V. Schroeder
    Invariant subsets of rank 1 manifolds
    Manuscripta Math. 107, no 1, 73 - 88 (2002)
  1. S. Buyalo, V. Schroeder
    Extension of Lipschitz maps into 3-manifolds
    Asian J. Math 5, no 4, 685 - 704 (2001)
  1. S. Buyalo, V. Schroeder
    On the asymptotic geometry of nonpositively curved graphmanifolds
    Trans. AMS 353, no 3, 853 - 875 (2001)
  1. U. Lang, B. Pavlovic, V. Schroeder
    Extensions of Lipschitz maps into Hadamard spaces
    Geom. Funct. Anal. 10, no 6, 1527 - 1553 (2000)
  1. V. Schroeder
    Bounded geodesics in manifolds of negative curvature
    Math. Z. 235, no 4, 817 - 828 (2000)
  1. S. Buyalo, V. Schroeder, M. Walz
    Geodesics avoiding open subsets in surfaces of negative curvature
    Ergodic Th. Dyn. Syst. 20, 991-1006 (2000)
  1. Ch. Hummel, U. Lang, V. Schroeder
    Convex hulls in singular spaces of negative curvature
    Ann. Global Anal. Geom. 18, 191-204 (2000)
  1. Ch. Hummel, V. Schroeder
    Tits geometry of cocompact, real-analytic Hadamard manifolds of dimension 4
    Diff. Geom. Appl. 11, 129-143 (1999)
  1. Ch. Hummel, V. Schroeder
    Tits geometry associated with closed, real-analytic manifolds of nonpositive curvature and dimension 4
    J. Diff. Geom. 48, 531-555 (1998)
  1. U. Lang, V. Schroeder
    Kirszbraun's theorem and metric spaces of bounded curvature
    Geom. Funct. Anal. (GAFA), 7, no. 3, 535-560 (1997)
  1. U. Lang, V. Schroeder
    Jung's theorem for Alexandrov spaces of curvature bounded above
    Ann. Global Anal. Geom. 15, no. 3, 263-275 (1997)
  1. U. Lang, V. Schroeder
    Quasiflats in Hadamard spaces
    Ann. Sci. Ecole Norm. Sup. 30, 339-352 (1997)
  1. U. Abresch, V. Schroeder
    Analytic manifolds of nonpositive curvature
    Actes de la Table Ronde de Géométrie Différentielle (Luminy, 1992), 1 - 67, Sémin. Congr. 1, Soc. Math. France, Paris, 1996
  1. S Fornari, V. Schroeder
    Ramified coverings with nonpositive curvature
    Math. Z. 203, no 1, 123 - 128 (1990)
  1. Ch. Hummel, V. Schroeder
    Cusp closing in rank one symmetric spaces
    Invent. Math. 123, no 2, 283 - 307 (1996)
  1. S. Goette, V. Schroeder
    Totally geodesic hypersurfaces in manifolds of nonpositive curvature
    Manuscripta Math. 86, no 2, 169 - 184 (1995)
  1. P. Eberlein, U. Hamenstädt, V. Schroeder
    Manifolds of nonpositive curvature. Differential geometry: Riemannian geometry
    (Los Angeles, CA, 1990), 179 - 227; Proc. Sympos. Pure Math. 54, Part 3, Amer. Math. Soc. Providence, RI (1993)
  1. U. Abresch, V. Schroeder
    Graph manifolds, ends of negatively curved spaces and the hyperbolic 120-cell space
    J. Differential Geom. 35, no 2, 299 - 336 (1992)
  1. V. Bangert, V. Schroeder
    Existence of flat tori in analytic manifolds of nonpositive curvature
    Ann. Sci. Ecole Norm. Sup. (4) 24, no 5, 605 - 634 (1991)
  1. J.-H. Eschenburg, V. Schroeder
    Tits distance of Hadamard manifolds and isoparametric hypersurfaces
    Geom. Dedicata 40, no 1, 97 - 101 (1991)
  1. V. Schroeder
    Analytic manifolds of nonpositive curvature with higher rank subspaces
    Arch. Math. (Basel) 56, no 1, 81 - 85 (1991)
  1. V. Schroeder, M. Strake
    Volume growth of open manifolds with nonnegative curvature
    Ann. Global Anal. Geom. 8, no 2, 159 - 165 (1990)
  1. V. Schroeder
    Codimension one tori in manifolds of nonpositive curvature
    Geom. Dedicata 33, no 3, 251 - 263 (1990)
  1. V. Schroeder, W. Ziller
    Local rigidity of symmetric spaces
    Trans. Amer. Math. Soc. 320, no 1, 145 - 160 (1990)
  1. J.-H. Eschenburg, V. Schroeder, M. Strake
    Curvature at infinity of open nonnegative curved manifolds
    J. Differential Geom. 30, no 1, 155 - 166 (1989)
  1. V. Schroeder, M. Strake
    Rigidity of convex domains in manifolds with nonnegative Ricci and sectional curvature
    Comment. Math. Helv. 64, no 2, 173 - 186 (1989)
  1. V. Schroeder
    Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature
    Manuscripta Mat. 64, no 1, 77 - 105 (1989)
  1. V. Schroeder
    A cusp closing theorem
    Proc. Amer. Math. Soc. 106, no 3, 797 - 802 (1989)
  1. V. Schroeder, M. Strake
    Local rigidity of symmetric spaces of nonpositive curvature
    Proc. Amer. Math. Soc. 106, no 2, 481 - 487 (1989)
  1. V. Schroeder
    Flache Unterräume in Mannigfaltigkeiten nichtpositiver Krümmung
    Habilitationsschrift, Univ. Münster (1988)
  1. V. Schroeder
    Existence of immersed tori in manifolds of nonpositive curvature
    J. Reine Angew. Math. 390, 32 - 46 (1988)
  1. J.-H. Eschenburg, V. Schroeder
    Riemannian manifolds with flat ends
    Math. Z. 196, no. 4, 573 - 589 (1987)
  1. M. Burger, V. Schroeder
    Volume, diameter and the first eigenvalue of locally symmetric spaces of rank one
    J. Differential Geom. 26, no 2, 273 - 284 (1987)
  1. M. Burger, V. Schroeder
    Amenable groups and stabilizers of measures on the boundary of a Hadamard manifold
    Math. Ann. 276, no 3, 505 - 514 (1987)
  1. C.B. Croke, V. Schroeder
    The fundamental group of compact manifolds without conjugate points
    Comm. Math. Helv. 61, 161 - 175 (1986)
  1. M.T. Anderson, V. Schroeder
    Existence of flats in manifolds of nonpositive curvature
    Invent. Math. 85, 303 - 315 (1986)
  1. V. Schroeder
    On the fundamental group of a visibility manifold
    Math. Z. 192, 347 - 351 (1986)
  1. V. Schroeder
    Rigidity of nonpositively curved graphmanifolds
    Math. Ann. 274, 19 - 26 (1986)
  1. V. Schroeder
    A splitting theorem for spaces of nonpositive curvature
    Invent. Math. 79, 323 - 327 (1985)
  1. V. Schroeder
    Finite volume and fundamental group on manifolds of negative curvature
    J. Differential Geom. 20, no 1, 175 - 183 (1984)
  1. V. Schroeder
    Über die Fundamentalgruppe von Räumen nichtpositiver Krümmung mit endlichem Volumen
    Schriftenreihe des Mathematischen Instituts der Universität Münster, 2. Serie, 92 pp (1984)

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