Extension of minimal immersions of spheres into spheres

Yosio MUTO

doi:10.2969/jmsj/04220239

Yosio MUTO

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JOURNAL FREE ACCESS

1990 Volume 42 Issue 2 Pages 239-257

DOI https://doi.org/10.2969/jmsj/04220239

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Published: 1990 Received: April 27, 1988 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. P. Do Carmo and N. R. Wallach, Minimal immersions of spheres into spheres, Ann. of Math., 93 (1971), 43-62.
2) K. Mashimo, Minimal immersions of 3-dimensional sphere into spheres, Osaka J. Math., 21 (1984), 721-732.
3) Y. Muto, Some properties of isometric minimal immersions of spheres into spheres, Kodai Math. J., 6(1983), 308-332.
4) Y. Muto, Isometric minimal immersions of spheres into spheres isotropic up to some order, Yokohama Math. J., 32 (1984), 159-180.
5) Y. Muto, Groups of motions and minimal immersions of spheres into spheres, Kodai Math. J., 9 (1986), 191-205.
6) Y. Muto, Some isometric minimal immersions S³(1)→S²⁴(r), r²=1/8, which are not full, Tensor (N. S.), 45 (1987), 130-140.
7) T. Takahashi, Minimal immersions of Riemannian manifolds, J. Math. Soc. Japan, 18 (1966), 380-385.
8) K. Tsukada, Isotropic minimal immersions of spheres into spheres, J. Math. Soc. Japan, 35 (1983), 355-379.

Right : [1] M. P. Do Carmo and N. R. Wallach, Minimal immersions of spheres into spheres, Ann. of Math., 93 (1971), 43-62.
[2] K. Mashimo, Minimal immersions of 3-dimensional sphere into spheres, Osaka J. Math., 21 (1984), 721-732.
[3] Y. Muto, Some properties of isometric minimal immersions of spheres into spheres, Kodai Math. J., 6(1983), 308-332.
[4] Y. Muto, Isometric minimal immersions of spheres into spheres isotropic up to some order, Yokohama Math. J., 32 (1984), 159-180.
[5] Y. Muto, Groups of motions and minimal immersions of spheres into spheres, Kodai Math. J., 9 (1986), 191-205.
[7] T. Takahashi, Minimal immersions of Riemannian manifolds, J. Math. Soc. Japan, 18 (1966), 380-385.
[8] K. Tsukada, Isotropic minimal immersions of spheres into spheres, J. Math. Soc. Japan, 35 (1983), 355-379.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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