On spectral geometry of Kaehler submanifolds

Antonio ROS

doi:10.2969/jmsj/03630433

Antonio ROS

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1984 Volume 36 Issue 3 Pages 433-448

DOI https://doi.org/10.2969/jmsj/03630433

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Published: 1984 Received: February 07, 1983 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. Barros and B. Y. Chen, Complex spheres and spectral geometry, Geometriae Dedicata, 11 (1981), 337-340.
2) M. Berger, P. Gauduchon and E. Mazet, Le spectre d'une variété Riemannienne, Lecture Notes in Math., 194, Springer-Verlag, 1971.
3) B. Y. Chen, Geometry of submanifolds and its applications, Science Univ. of Tokyo, 1981.
4) N. Ejiri, The first eigenvalue of Δ for compact minimal submanifolds in a complex projective space, (to appear).
5) J. Hano, Einstein complete intersections in complex projective space, Math. Ann., 216 (1975), 197-208.
6) T. Nagano, On the minimum eigenvalues of the Laplacians in Riemannian manifolds, Sci. Papers College Gen. Ed. Univ. Tokyo, 11 (1961), 177-182.
7) H. Nakagawa and R. Takagi, On locally symmetric Kaehler submanifolds in a complex projective space, J. Math. Soc. Japan, 28 (1976), 638-667.
8) M. Obata, Riemannian manifolds admitting a solution of a certain system of differential equations, Proc. U.S. - Japan Sem. Diff. Geom., Kyoto Japan 1965, Nihon Hyoronsha, Tokyo, 1966.
9) K. Ogiue, Differential geometry of Kaehler submanifolds, Advances in Math., 13 (1974), 73-114.
10) A. Ros, Spectral geometry of CR-minimal submanifolds in the complex projective space, Kodai Math. J., (to appear).
11) S. S. Tai, Minimun imbedding of compact symmetric spaces of rank one, J. Differential Geometry, 2 (1968), 55-66.
12) M. Takeuchi, Homogeneous Kaehler submanifolds in complex projective spaces, Japan. J. Math., 4 (1978), 171-219.

Right : [1] M. Barros and B. Y. Chen, Complex spheres and spectral geometry, Geometriae Dedicata, 11 (1981), 337-340.
[2] M. Berger, P. Gauduchon and E. Mazet, Le spectre d'une variété Riemannienne, Lecture Notes in Math., 194, Springer-Verlag, 1971.
[3] B. Y. Chen, Geometry of submanifolds and its applications, Science Univ. of Tokyo, 1981.
[4] N. Ejiri, The first eigenvalue of Δ for compact minimal submanifolds in a complex projective space, (to appear).
[5] J. Hano, Einstein complete intersections in complex projective space, Math. Ann., 216 (1975), 197-208.
[6] T. Nagano, On the minimum eigenvalues of the Laplacians in Riemannian manifolds, Sci. Papers College Gen. Ed. Univ. Tokyo, 11 (1961), 177-182.
[7] H. Nakagawa and R. Takagi, On locally symmetric Kaehler submanifolds in a complex projective space, J. Math. Soc. Japan, 28 (1976), 638-667.
[8] M. Obata, Riemannian manifolds admitting a solution of a certain system of differential equations, Proc. U. S.-Japan Sem. Diff. Geom., Kyoto Japan 1965, Nihon Hyoronsha, Tokyo, 1966.
[9] K. Ogiue, Differential geometry of Kaehler submanifolds, Advances in Math., 13 (1974), 73-114.
[10] A. Ros, Spectral geometry of CR-minimal submanifolds in the complex projective space, Kodai Math. J., (to appear).
[11] S. S. Tai, Minimun imbedding of compact symmetric spaces of rank one, J. Differential Geometry, 2 (1968), 55-66.
[12] M. Takeuchi, Homogeneous Kaehler submanifolds in complex projective spaces, Japan. J. Math., 4 (1978), 171-219.

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

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