Isotropic minimal immersions of spheres into spheres

Kazumi TSUKADA

doi:10.2969/jmsj/03520355

Kazumi TSUKADA

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ジャーナルフリー

1983 年 35 巻 2 号 p. 355-379

DOI https://doi.org/10.2969/jmsj/03520355

詳細

Published: 1983 Received: 1981/10/20 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) M. Berger, P. Gauduchon et E. Mazet, Le spectre d'une variété Riemannienne, Lecture Notes in Math., 194, Springer-Verlag, 1971.
2) A. Besse, Manifolds all of whose geodesics are closed, Ergebnisse der Math., 93, Springer-Verlag, 1978.
3) H. Boerner, Representations of groups, North-Holland, Amsterdam, 1963.
4) M. do Carmo and N. Wallach, Minimal immersions of spheres into spheres, Ann. of Math., 93 (1971), 43-62.
5) B. O'Neill, Isotropic and Kaehler immersions, Canad. J. Math., 17 (1965), 907-915.
6) K. Mashimo, Degree of the standard isometric minimal immersions of complex projective spaces into spheres, Tsukuba J. Math., 4 (1980), 133-145.
7) K. Mashimo, Degree of the standard isometric minimal immersions of the symmetric spaces of rank one into spheres, to appear in Tsukuba J. Math.
8) K. Sakamoto, Helical immersions into a unit sphere, preprint.
9) T. Takahashi, Minimal immersions of Riemannian manifolds, J. Math. Soc. Japan, 18 (1966), 380-385.
10) N. Wallach, Symmetric spaces, edited by W.M. Boothby and G.L. Weiss, Marcel Dekker, New York, 1972.

Right : [1] M. Berger, P. Gauduchon et E. Mazet, Le spectre d'une variété Riemannienne, Lecture Notes in Math., 194, Springer-Verlag, 1971.
[2] A. Besse, Manifolds all of whose geodesics are closed, Ergebnisse der Math., 93, Springer-Verlag, 1978.
[3] H. Boerner, Representations of groups, North-Holland, Amsterdam, 1963.
[4] M. do Carmo and N. Wallach, Minimal immersions of spheres into spheres, Ann. of Math., 93 (1971), 43-62.
[5] B. O'Neill, Isotropic and Kaehler immersions, Canad. J. Math., 17 (1965), 907-915.
[6] K. Mashimo, Degree of the standard isometric minimal immersions of complex projective spaces into spheres, Tsukuba J. Math., 4 (1980), 133-145.
[7] K. Mashimo, Degree of the standard isometric minimal immersions of the symmetric spaces of rank one into spheres, to appear in Tsukuba J. Math.
[8] K. Sakamoto, Helical immersions into a unit sphere, preprint.
[9] T. Takahashi, Minimal immersions of Riemannian manifolds, J. Math. Soc. Japan, 18 (1966), 380-385.
[10] N. Wallach, Symmetric spaces, edited by W. M. Boothby and G. L. Weiss, Marcel Dekker, New York, 1972.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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