Compact homogeneous hypersurfaces
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- by Shoshichi Kobayashi PDF
- Trans. Amer. Math. Soc. 88 (1958), 137-143 Request permission
References
- E. Cartan, La déformation des hypersurfaces dans l’espace conforme réel à $n \ge 5$ dimensions, Bull. Soc. Math. France 45 (1917), 57–121 (French). MR 1504762 S. S. Chern, Lecture notes, Chicago, 1952. —, Topics in differential geometry, Princeton, 1951. W. Fenchel and B. Jessen, Mengenfunktionen und konvexe Körper, Det Kgl. Danske Videnskabernes Selskab. Matematisk-Fysiske Meddelelser, XVI vol. 3 (1938). J. Hadamard, Sur certaines propriétés des trajectoires en dynamique, J. Math. Pures Appl. vol. 3 (1897) pp. 331-387.
- Chuan-Chih Hsiung, On differential geometry of hypersurfaces in the large, Trans. Amer. Math. Soc. 81 (1956), 243–252. MR 76387, DOI 10.1090/S0002-9947-1956-0076387-7 S. Kobayashi, Le groupe des transformations qui laissent invariant le parallélisme, Colloque de topologie, Strasbourg, 1954.
- Shôshichi Kobayashi, Espaces à connexions affines et Riemanniennes symétriques, Nagoya Math. J. 9 (1955), 25–37 (French). MR 76391
- Shoshichi Kobayshi, Induced connections and imbedded Riemannian spaces, Nagoya Math. J. 10 (1956), 15–25. MR 80953 T. Kubota, Ueber die Eibereiche im $n$-dimensionalen Raume, Science Reports of the Tôhoku Imperial University (1) vol. 14 (1925) pp. 399-402.
- Hermann Minkowski, Volumen und Oberfläche, Math. Ann. 57 (1903), no. 4, 447–495 (German). MR 1511220, DOI 10.1007/BF01445180
- S. B. Myers and N. E. Steenrod, The group of isometries of a Riemannian manifold, Ann. of Math. (2) 40 (1939), no. 2, 400–416. MR 1503467, DOI 10.2307/1968928
- T. Y. Thomas, Riemann spaces of class one and their characterization, Acta Math. 67 (1936), no. 1, 169–211. MR 1555419, DOI 10.1007/BF02401741
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 88 (1958), 137-143
- MSC: Primary 53.00
- DOI: https://doi.org/10.1090/S0002-9947-1958-0096284-2
- MathSciNet review: 0096284