Selected preprints and publications of Urs Lang

• (with Stephan Stadler & David Urech) Isoperimetric inequalities in Hadamard spaces of asymptotic rank two,
  Adv. Math. 502 (2026), Part A, Paper No. 111123, 24 pp. (open access)

• (with Cornelia Druţu, Panos Papasoglu, & Stephan Stadler) Minimal tetrahedra and an isoperimetric gap theorem in non-positive curvature,
  preprint (link to arXiv)

• (with Martina Jørgensen) A combinatorial higher-rank hyperbolicity condition,
  Comment. Math. Helvetici 99 (2024), 613-639 (open access)

• (with Tommaso Goldhirsch) Characterizations of higher rank hyperbolicity,
  Math. Z. 305 (2023), Paper No. 13, 26 pp. (open access)

• (with Martina Jørgensen) Geodesic spaces of low Nagata dimension,
  Ann. Fenn. Math. 47 (2022), 83-88 (open access)

• (with Bruce Kleiner) Higher rank hyperbolicity,
  preprint (link to arXiv), Invent. Math. 221 (2020), 597-664 (open access, view-only)

• (with Zoltán Balogh & Pierre Pansu) Lipschitz extensions of maps between Heisenberg groups,
  Ann. Inst. Fourier 66 (2016), 1653-1665 (open access)

• (with Dominic Descombes) Flats in spaces with convex geodesic bicombings,
  Anal. Geom. Metric Spaces 4 (2016), 68-84 (open access)

• (with Dominic Descombes) Convex geodesic bicombings and hyperbolicity,
  preprint (link to arXiv), Geom. Dedicata 177 (2015), 367-384

• (with Maël Pavón & Roger Züst) Metric stability of trees and tight spans,
  preprint (link to arXiv), Arch. Math. (Basel) 101 (2013), 91-100

• (with Viktor Schroeder) On Toponogov's comparison theorem for Alexandrov spaces,
  preprint (link to arXiv), Enseign. Math. 59 (2013), 325-336

• Injective hulls of certain discrete metric spaces and groups,
  preprint (link to arXiv), J. Topol. Anal. 5 (2013), 297-331

• (with Stefan Wenger) The pointed flat compactness theorem for locally integral currents,
  preprint (link to arXiv), Comm. Anal. Geom. 19 (2011), 159-189

• Local currents in metric spaces,
  J. Geom. Anal. 21 (2011), 683-742

• (with Ilkka Holopainen & Aleksi Vähäkangas) Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces,
  Math. Ann. 339 (2007), 101-134

• (with Thilo Schlichenmaier) Nagata dimension, quasisymmetric embeddings, and Lipschitz extensions,
  Internat. Math. Res. Notices 2005, no. 58, 3625-3655

• (with Mario Bonk) Bi-Lipschitz parameterization of surfaces,
  Math. Ann. 327 (2003), 135-169

• The asymptotic Plateau problem in Gromov hyperbolic manifolds,
  Calc. Var. 16 (2003), 31-46

• (with Conrad Plaut) Bilipschitz embeddings of metric spaces into space forms,
  Geom. Dedicata 87 (2001), 285-307

• (with Branka Pavlović & Viktor Schroeder) Extensions of Lipschitz maps into Hadamard spaces,
  Geom. Funct. Anal. (GAFA) 10 (2000), 1527-1553

• Higher-dimensional linear isoperimetric inequalities in hyperbolic groups,
  Internat. Math. Res. Notices 2000, no. 13, 709-717

• (with Christoph Hummel & Viktor Schroeder) Convex Hulls in Singular Spaces of Negative Curvature,
  Ann. Global Anal. Geom. 18 (2000), 191-204

• Extendability of large-scale Lipschitz maps,
  Trans. Amer. Math. Soc. 351 (1999), 3975-3988

• (with Viktor Schroeder) Jung's Theorem for Alexandrov Spaces of Curvature Bounded Above,
  Ann. Global Anal. Geom. 15 (1997), 263-275

• (with Viktor Schroeder) Kirszbraun's theorem and metric spaces of bounded curvature,
  Geom. Funct. Anal. (GAFA) 7 (1997), 535-560

• (with Viktor Schroeder) Quasiflats in Hadamard spaces,
  Ann. Sci. Ecole Norm. Sup. 30 (1997), 339-352

• Quasigeodesics Outside Horoballs,
  Geom. Dedicata 63 (1996), 205-215

• The trapping property of totally geodesic hyperplanes in Hadamard spaces,
  Geom. Funct. Anal. (GAFA) 6 (1996), 689-702

• (with Victor Bangert) Trapping quasi-minimizing submanifolds in spaces of negative curvature,
  Comment. Math. Helvetici 71 (1996), 122-143

• Diameter bounds for convex surfaces with pinched mean curvature,
  Manuscripta Math. 86 (1995), 15-22

• The existence of complete minimizing hypersurfaces in hyperbolic manifolds,
  Internat. J. Math. 6 (1995), 45-58

• Quasi-minimizing surfaces in hyperbolic space,
  Math. Z. 210 (1992), 581-592

Last updated July 7, 2026