Mappings of moduli spaces for harmonic eigenmaps and minimal immersions between spheres

Gabor TOTH

doi:10.2969/jmsj/04420179

Gabor TOTH

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ジャーナルフリー

1992 年 44 巻 2 号 p. 179-198

DOI https://doi.org/10.2969/jmsj/04420179

詳細

Published: 1992 Received: 1991/02/08 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: 所属機関情報訂正内容: 訂正前 :
1) Department of Mathematical Sciences Rutgers The State University of New Jersey

訂正後 :
1) Department of Mathematical Sciences Rutgers·The State University of New Jersey

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. DoCarmo and N. Wallach, Minimal immersions of spheres into spheres, Ann. of Math., 93 (1971), 43-62.
2) J. Eells and L. Lemaire, Selected topics in harmonic maps, Reg. Conf. Ser. in Math., No. 50, AMS, 1982.
3) Y. Muto, The space W₂ of isometric minimal immersions of the three-dimensional sphere into spheres, Tokyo J. Math., 7 (1984), 337-358.
4) G. Toth, Classification of quadratic harmonic maps of S³ into spheres, Indiana Univ. Math. J., 36 (1987), 231-230.
5) G. Toth, Harmonic maps and minimal immersions through representation theory, Academic Press, Boston, 1990.
6) G. Toth, On the structure of the moduli space of harmonic eigenmaps (to appear).
7) N.I. Vilekin, Special functions and the theory of group representations, AMS Translations of Mathematical Monographs, Vol. 22, 1968.
8) N. Wallach, Minimal immersions of symmetric spaces into spheres, in Symmetric Spaces, Dekker, New York (1972), 1-40.

Right : [1] M. DoCarmo and N. Wallach, Minimal immersions of spheres into spheres, Ann. of Math., 93 (1971), 43-62.
[2] J. Eells and L. Lemaire, Selected topics in harmonic maps, Reg. Conf. Ser. in Math., No. 50, AMS, 1982.
[3] Y. Muto, The space W₂ of isometric minimal immersions of the three-dimensional sphere into spheres, Tokyo J. Math., 7 (1984), 337-358.
[4] G. Toth, Classification of quadratic harmonic maps of S³ into spheres, Indiana Univ. Math. J., 36 (1987), 231-230.
[5] G. Toth, Harmonic maps and minimal immersions through representation theory, Academic Press, Boston, 1990.
[6] G. Toth, On the structure of the moduli space of harmonic eigenmaps (to appear).
[7] N. I. Vilekin, Special functions and the theory of group representations, AMS Translations of Mathematical Monographs, Vol. 22, 1968.
[8] N. Wallach, Minimal immersions of symmetric spaces into spheres, in Symmetric Spaces, Dekker, New York (1972), 1-40.

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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