Steinerâs formulae on a general $S^{n + 1}$
HTML articles powered by AMS MathViewer
- by Carl B. Allendoerfer PDF
- Bull. Amer. Math. Soc. 54 (1948), 128-135
References
- Carl B. Allendoerfer and AndrĂŠ Weil, The Gauss-Bonnet theorem for Riemannian polyhedra, Trans. Amer. Math. Soc. 53 (1943), 101â129. MR 7627, DOI 10.1090/S0002-9947-1943-0007627-9
- F. Fiala, Le problème des isopĂŠrimètres sur les surfaces ouvertes Ă courbure positive, Comment. Math. Helv. 13 (1941), 293â346 (French). MR 6422, DOI 10.1007/BF01378068
- H. Hadwiger, Die erweiterten Steinerschen Formeln fĂźr ebene und sphärische Bereiche, Comment. Math. Helv. 18 (1945), 59â72 (German). MR 14262, DOI 10.1007/BF02568102
- G. Herglotz, Ăber die Steinersche Formel fĂźr Parallelflächen, Abh. Math. Sem. Hansischen Univ. 15 (1943), 165â177 (German). MR 15832, DOI 10.1007/BF02941081 5. J. Steiner, Über parallele Flächen, Monatsbericht der Akademie der Wissenschaften zu Berlin (1840) pp. 114-118; also Werke vol. 2 (1882) pp. 171-176.
- E. Vidal Abascal, A generalization of Steinerâs formulae, Bull. Amer. Math. Soc. 53 (1947), 841â844. MR 25174, DOI 10.1090/S0002-9904-1947-08906-0
- Hermann Weyl, On the Volume of Tubes, Amer. J. Math. 61 (1939), no. 2, 461â472. MR 1507388, DOI 10.2307/2371513
Additional Information
- Journal: Bull. Amer. Math. Soc. 54 (1948), 128-135
- DOI: https://doi.org/10.1090/S0002-9904-1948-08966-2
- MathSciNet review: 0025172