Hyperbolic spaces and quadratic forms
HTML articles powered by AMS MathViewer
- by Joseph E. Valentine
- Proc. Amer. Math. Soc. 24 (1970), 607-610
- DOI: https://doi.org/10.1090/S0002-9939-1970-0254726-4
- PDF | Request permission
References
- Leonard M. Blumenthal, Theory and applications of distance geometry, Oxford, at the Clarendon Press, 1953. MR 0054981 —, The geometry of a class of semimetric spaces, Tôhoku Math. J. 43 (1937), 205-224.
- Leonard M. Blumenthal and George A. Garrett, Characterization of Spherical and Pseudo-Spherical Sets of Points, Amer. J. Math. 55 (1933), no. 1-4, 619–640. MR 1506990, DOI 10.2307/2371156 H. S. M. Coxeter and J. A. Todd, On points with arbitrarily assigned mutual distances, Proc. Cambridge Philos. Soc. 30 (1934), 1-3. K. Menger, Bericht über metrische Geometrie, Jber. Deutsch. Math.-Verein 40 (1931), 201-219.
- Karl Menger, New Foundation of Euclidean Geometry, Amer. J. Math. 53 (1931), no. 4, 721–745. MR 1506850, DOI 10.2307/2371222
- I. J. Schoenberg, Remarks to Maurice Fréchet’s article “Sur la définition axiomatique d’une classe d’espace distanciés vectoriellement applicable sur l’espace de Hilbert” [MR1503246], Ann. of Math. (2) 36 (1935), no. 3, 724–732. MR 1503248, DOI 10.2307/1968654
- I. J. Schoenberg, Metric spaces and positive definite functions, Trans. Amer. Math. Soc. 44 (1938), no. 3, 522–536. MR 1501980, DOI 10.1090/S0002-9947-1938-1501980-0
Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 24 (1970), 607-610
- MSC: Primary 50.40
- DOI: https://doi.org/10.1090/S0002-9939-1970-0254726-4
- MathSciNet review: 0254726