Acta Mathematica

Spaces with non-positive curvature

Herbert Busemann

Full-text: Open access

Article information

Source
Acta Math. Volume 80 (1948), 259-310.

Dates
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.acta/1485888482

Digital Object Identifier
doi:10.1007/BF02393651

Mathematical Reviews number (MathSciNet)
MR29531

Zentralblatt MATH identifier
0038.10005

Rights
1948 © Almqvist & Wiksells Boktryckeri

Citation

Busemann, Herbert. Spaces with non-positive curvature. Acta Math. 80 (1948), 259--310. doi:10.1007/BF02393651. https://projecteuclid.org/euclid.acta/1485888482


Export citation

References

  • L. Berwald, Über Finslersche und Cartansche Geometrie I Mathematica Cluy, vol. 17, 1941, pp. 34–58.
  • Oskar Bolza, Vorlesungen über Variationsrechnung; Leipzig 1909.
  • H. Busemann, Metric methods in Finsler spaces and in the foundations of geometry, Ann. Math. Studies No. 8, Princeton 1942.
  • —, Local metric geometry, Trans. Am. Math. Soc. 56 (1944), pp. 200–274.
  • —, Intrinsic area, Ann. Math. 48 (1947) pp. 234–267.
  • —, The isoperimetric problem in the Minkowski plane, Am. Journal of Math. 69 (1947), pp. 863–871.
  • E. Cartan, Leçons sur la géométrie des surfaces de Riemann, Paris 1928.
  • S. Cohn-Vossen, Kürzeste Wege und Totalkrümmung auf Flächen, Comp. Math. 2, 1935, pp. 69–133.
  • J. Hadamard, Les surfaces à courbures opposées et leur lignes géodésiques. Jour. Math. Pur. Appl. 5th series vol. 4 (1898), pp. 27–73.
  • H. Hopf, Zum Clifford-Kleinschen Raumproblem, Math. Ann. 95 (1925), pp. 313–339.
  • H. Hopf and W. Rinow, Die topologischen Gestalten differential geometrisch verwandter Flächen, Math. Ann. 107 (1932), pp. 113–123.
  • M. Morse and G. Hedlund, Symbolic dynamics. Am. Journal of Math. 60, 1938, pp. 815–866.
  • J. Nielsen, Om geodätiske Linier i lukkede Manigfoldigheder med konstant negativ Krumning, Math. Tidsskrift B, 1925, pp. 37–44.
  • —, Untersuchungen zur Topologie der geschlossenen zweiseitigen Flächen, Acta math. 50, 1927, pp. 189–358.
  • H. Seiffert and W. Threlfall, Lebrbuch der Topologie, Leipzig 1934.