Remarks on Sobolev inequalities and stability of minimal submanifolds

Shukichi TANNO

doi:10.2969/jmsj/03520323

Shukichi TANNO

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ジャーナルフリー

1983 年 35 巻 2 号 p. 323-329

DOI https://doi.org/10.2969/jmsj/03520323

詳細

Published: 1983 Received: 1982/02/27 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: 論文サブタイトル訂正内容: Wrong : Dedicated to Professor Shigeo Sasaki on his 70th birthday

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) D. Hoffman, Lower bounds on the first eigenvalue of the Laplacian of Riemannian submanifolds, Minimal submanifolds and geodesics (Proc. Japan-U.S. Seminar), Kaigai Publ., Tokyo, 1978, 61-73.
2) D. Hoffman and J. Spruck, Sobolev and isoperimetric inequalities for Riemanniansubmanifolds, Comm. Pure Appl. Math., 27 (1974), 715-727; A correction to 2), Pure Appl. Math., 28 (1975), 765-766).
3) H. Mori, Notes on the stability of minimal submanifolds of Riemannian manifolds, Yokohama Math. J., 25 (1977), 9-15.
4) T. Otsuki, A remark on the Sobolev inequality for Riemannian submanifolds, Proc. Japan Acad., 51 (1975), 785-789.
5) J. Spruck, Remarks on the stability of minimal submanifolds of Rⁿ, Math. Z., 144 (1975), 169-174.

Right : [1] D. Hoffman, Lower bounds on the first eigenvalue of the Laplacian of Riemannian submanifolds, Minimal submanifolds and geodesics (Proc. Japan-U. S. Seminar), Kaigai Publ., Tokyo, 1978, 61-73.
[2] D. Hoffman and J. Spruck, Sobolev and isoperimetric inequalities for Riemanniansubmanifolds, Comm. Pure Appl. Math., 27 (1974), 715-727; [A correction to [2], Comm. Pure Appl. Math., 28 (1975), 765-766).
[3] H. Mori, Notes on the stability of minimal submanifolds of Riemannian manifolds, Yokohama Math. J., 25 (1977), 9-15.
[4] T. Otsuki, A remark on the Sobolev inequality for Riemannian submanifolds, Proc. Japan Acad., 51 (1975), 785-789.
[5] J. Spruck, Remarks on the stability of minimal submanifolds of Rⁿ, Math. Z., 144 (1975), 169-174.

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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