On parallel hypersurfaces in the elliptic and hyperbolic $n$-dimensional space
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- by L. A. Santaló PDF
- Proc. Amer. Math. Soc. 1 (1950), 325-330 Request permission
References
- Carl B. Allendoerfer, Steiner’s formulae on a general $S^{n+1}$, Bull. Amer. Math. Soc. 54 (1948), 128–135. MR 25172, DOI 10.1090/S0002-9904-1948-08966-2
- Carl B. Allendoerfer and André Weil, The Gauss-Bonnet theorem for Riemannian polyhedra, Trans. Amer. Math. Soc. 53 (1943), 101–129. MR 7627, DOI 10.1090/S0002-9947-1943-0007627-9 W. Blaschke, Einige Bemerkungen ueber Kurven und Flächen von konstanter Breite, Leipziger Berichte vol. 67 (1915) pp. 290-297. —, Integralgeometrie 22: Zur elliptischen Geometrie, Math. Zeit. vol. 41 (1936) pp. 785-786. E. P. Eisenhart, Riemannian geometry, Princeton, 1926.
- G. Herglotz, Über die Steinersche Formel für Parallelflächen, Abh. Math. Sem. Hansischen Univ. 15 (1943), 165–177 (German). MR 15832, DOI 10.1007/BF02941081 L. A. Santaló, Sobre los cuerpos convexos de anchura constante en ${E_n}$, Portugaliae Mathematica vol. 5 (1946) pp. 195-201.
Additional Information
- © Copyright 1950 American Mathematical Society
- 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