The first eigenvalue of Laplacians on minimal surfaces in S3

Hiroshi MORI

doi:10.2969/jmsj/03710079

The first eigenvalue of Laplacians on minimal surfaces in S³

Hiroshi MORI

Author information

JOURNAL FREE ACCESS

1985 Volume 37 Issue 1 Pages 79-86

DOI https://doi.org/10.2969/jmsj/03710079

Details

Published: 1985 Received: December 26, 1983 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Naomi Mitsutsuka on his 60th birthday

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. Berger, P. Gauduchon and E. Mazet, Le spectre d'une variété riemannienne, Lecture Notes in Math., 194, Springer-Verlag, 1971.
2) K. Kenmotsu, Surfaces of revolution with prescribed mean curvature, Tohoku Math. J., 32 (1980), 147-153.
3) H. Mori, Minimal surfaces of revolution in H³ and their global stability, Indiana. Univ. Math. J., 30 (1981), 787-794.
4) H. Mori, Stable complete constant mean curvature surfaces in R³ and H³, Trans. Amer. Math. Soc., 28 (1983), 671-687.
5) K. Nomizu and B. Smyth, A formula of Simons' type and hypersurfaces with constant mean curvature, J. Diff. Geom., 3 (1969), 367-377.
6) S. Bando and H. Urakawa, Generic properties of the eigenvalue of the Laplacian for compact Riemannian manifolds, Tohoku Math. J., 35 (1983), 155-172.

Right : [1] M. Berger, P. Gauduchon and E. Mazet, Le spectre d'une variété riemannienne, Lecture Notes in Math., 194, Springer-Verlag, 1971.
[2] K. Kenmotsu, Surfaces of revolution with prescribed mean curvature, Tôhoku Math. J., 32 (1980), 147-153.
[3] H. Mori, Minimal surfaces of revolution in H³ and their global stability, Indiana. Univ. Math. J., 30 (1981), 787-794.
[4] H. Mori, Stable complete constant mean curvature surfaces in R³ and H³, Trans. Amer. Math. Soc., 28 (1983), 671-687.
[5] K. Nomizu and B. Smyth, A formula of Simons' type and hypersurfaces with constant mean curvature, J. Diff. Geom., 3 (1969), 367-377.
[6] S. Bando and H. Urakawa, Generic properties of the eigenvalue of the Laplacian for compact Riemannian manifolds, Tohoku Math. J., 35 (1983), 155-172.

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

Corresponding author

Correction information

Register with J-STAGE for free!