Compact minimal submanifolds of a sphere with positive Ricci curvature

Norio EJIRI

doi:10.2969/jmsj/03120251

Norio EJIRI

著者情報

ジャーナルフリー

1979 年 31 巻 2 号 p. 251-256

DOI https://doi.org/10.2969/jmsj/03120251

詳細

Published: 1979 Received: 1977/06/07 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) S.S. Chern, M. doCarmo and S. Kobayashi, Minimal submanifolds of a sphere with second fundamental form of constant length, “Functional Analysis and Related Fields”. Springer, Berlin, 1970, 60-75.
2) M. doCarmo and N. R. Wallach, Minimal immersions of spheres into spheres, Ann. of Math., 95 (1971), 43-62.
3) J. Erbacher, Reduction of the codimension of an isometric immersion, J. Differential Geometry, 5 (1971), 333-340.
4) T. Itoh, Addendum to my paper “On Veronese manifolds”. J. Math. Soc. Japan, 30 (1978), 73-74.
5) G.R. Jensen, Homogeneous einstein spaces of dimension four, J. Differential Geometry, 3 (1969), 309-340.
6) J. Simons, Minimal varieties in riemannian manifolds, Ann. of Math., 88 (1968) 62-105.
7) N.R. Wallach, Minimal immersions of symmetric spaces into spheres, “Symmetric spaces”. Ed. Boothby and Weiss, Dekker, New York, 1972, 1-40.
8) S.T. Yau, Submanifolds with constant mean curvature II, Amer. J. Math., 96 (1975), 76-100.

Right : [1] S. S. Chern, M. doCarmo and S. Kobayashi, Minimal submanifolds of a sphere with second fundamental form of constant length, “Functional Analysis and Related Fields”, Springer, Berlin, 1970, 60-75.
[2] M. doCarmo and N. R. Wallach, Minimal immersions of spheres into spheres, Ann. of Math., 95 (1971), 43-62.
[3] J. Erbacher, Reduction of the codimension of an isometric immersion, J. Differential Geometry, 5 (1971), 333-340.
[4] T. Itoh, Addendum to my paper “On Veronese manifolds”, J. Math. Soc. Japan, 30 (1978), 73-74.
[5] G. R. Jensen, Homogeneous einstein spaces of dimension four, J. Differential Geometry, 3 (1969), 309-340.
[6] J. Simons, Minimal varieties in riemannian manifolds, Ann. of Math., 88 (1968) 62-105.
[7] N. R. Wallach, Minimal immersions of symmetric spaces into spheres, “Symmetric spaces”. Ed. Boothby and Weiss, Dekker, New York, 1972, 1-40.
[8] S. T. Yau, Submanifolds with constant mean curvature II, Amer. J. Math., 96 (1975), 76-100.

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

責任著者(Corresponding author)

訂正情報

J-STAGEへの登録はこちら（無料）