Published: 1983 Received: April 16, 1981Available on J-STAGE: October 20, 2006Accepted: -
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Date of correction: October 20, 2006Reason for correction: -Correction: AUTHORDetails: Wrong : Nobuhiro TNNAMI1) Right : Nobuhiro INNAMI1)
Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: Wrong : 1) E. Beltrami, Teoria fondamentale degli spazii di curvatura costante, Annali di Matem., (2) 2 (1868-69), 232-255. 2) H. Busemann, The Geometry of geodesics, Academic Press, New York, 1955. 3) É. Cartan, L'axiome du plan et la géométrie différentielle metrique, Euvres complètes, Partie III, 2, Gauthier-Villars, Paris, 1955. 4) É. Cartan, Leçons sur la géométrie des espaces de Riemann, Gauthier-Villars, Paris, 1928. 5) J. Cheeger and D. Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. of Math., 96 (1972), 413-443. 6) D. Gromoll, W. Klingenberg and W. Meyer, Riemannsche Geometrie im Grossen, Lecture Notes in Math., 55, Springer, Berlin-Heidelberg-New York, 1968. 7) S. Helgason, Differential geometry, Lie groups, and symmetric spaces, Academic Press, New York, 1978. 8) W. Hurewicz and H. Wallman, Dimension theory, Princeton Univ. Press, Princeton, New Jersey, 1948. 9) F. Klein, Ueber die sogenannte nicht-euklidische Geometrie, Math. Ann., 6 (1873), 112-145. 10) D. S. Leung and K. Nomizu, The axiom of spheres in Riemannian geometry, J. Differential Geometry, 5 (1971), 487-489. 11) L. Schlaefli, Nota alla Memoria del sig. Beltrami, (Sugli spazii di curvatura costante), Annali di Matem., (2) 5, (1871-73). 12) F. Schur, Ueber den Zusammenhang der Räume constanten Riemann'schen Krümmungsmasses mit den projectiven Räumen, Math. Ann., 27 (1886), 537-567.
Right : [1] E. Beltrami, Teoria fondamentale degli spazii di curvatura costante, Annali di Matem., (2) 2 (1868-69), 232-255. [2] H. Busemann, The Geometry of geodesics, Academic Press, New York, 1955. [3] É. Cartan, L'axiome du plan et la géométrie différentielle metrique, Œuvres complètes, Partie III, 2, Gauthier-Villars, Paris, 1955. [4] É. Cartan, Leçons sur la géométrie des espaces de Riemann, Gauthier-Villars, Paris, 1928. [5] J. Cheeger and D. Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. of Math., 96 (1972), 413-443. [6] D. Gromoll, W. Klingenberg and W. Meyer, Riemannsche Geometrie im Grossen, Lecture Notes in Math., 55, Springer, Berlin-Heidelberg-New York, 1968. [7] S. Helgason, Differential geometry, Lie groups, and symmetric spaces, Academic Press, New York, 1978. [8] W. Hurewicz and H. Wallman, Dimension theory, Princeton Univ. Press, Princeton, New Jersey, 1948. [9] F. Klein, Ueber die sogenannte nicht-euklidische Geometrie, Math. Ann., 6 (1873), 112-145. [10] D. S. Leung and K. Nomizu, The axiom of spheres in Riemannian geometry, J. Differential Geometry, 5 (1971), 487-489. [11] L. Schlaefli, Nota alla Memoria del sig. Beltrami, (Sugli spazii di curvatura costante), Annali di Matem., (2) 5, (1871-73). [12] F. Schur, Ueber den Zusammenhang der Räume constanten Riemann'schen Krümmungsmasses mit den projectiven Räumen, Math. Ann., 27 (1886), 537-567.
Date of correction: October 20, 2006Reason for correction: -Correction: PDF FILEDetails: -