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On parallel hypersurfaces in the elliptic and hyperbolic $ n$-dimensional space


Author: L. A. Santaló
Journal: Proc. Amer. Math. Soc. 1 (1950), 325-330
MSC: Primary 52.0X
DOI: https://doi.org/10.1090/S0002-9939-1950-0036532-6
MathSciNet review: 0036532
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References [Enhancements On Off] (What's this?)

  • [1] C. B. Allendoerfer, Steiner formulae on a general $ {S^{n + 1}}$, Bull. Amer. Math. Soc. vol. 54 (1948) pp. 128-135. MR 0025172 (9:607j)
  • [2] C. B. Allendoerfer and A. Weil, The Gauss-Bonnet theorem for Riemannian polyhedra, Trans. Amer. Math. Soc. vol. 53 (1943) pp. 101-129. MR 0007627 (4:169e)
  • [3] W. Blaschke, Einige Bemerkungen ueber Kurven und Flächen von konstanter Breite, Leipziger Berichte vol. 67 (1915) pp. 290-297.
  • [4] -, Integralgeometrie 22: Zur elliptischen Geometrie, Math. Zeit. vol. 41 (1936) pp. 785-786.
  • [5] E. P. Eisenhart, Riemannian geometry, Princeton, 1926.
  • [6] G. Herglotz, Ueber die Steinersche Formel für Parallelflächen, Abh. Math. Sem. Hansischen Univ. vol. 15 (1943) pp. 165-177. MR 0015832 (7:475h)
  • [7] L. A. Santaló, Sobre los cuerpos convexos de anchura constante en $ {E_n}$, Portugaliae Mathematica vol. 5 (1946) pp. 195-201.

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DOI: https://doi.org/10.1090/S0002-9939-1950-0036532-6
Article copyright: © Copyright 1950 American Mathematical Society

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