Eigenvalues of the Laplacian on Calabi-Eckmann manifolds

Kazumi TSUKADA

doi:10.2969/jmsj/03340673

Kazumi TSUKADA

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JOURNAL FREE ACCESS

1981 Volume 33 Issue 4 Pages 673-691

DOI https://doi.org/10.2969/jmsj/03340673

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Published: 1981 Received: March 24, 1980 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) B. Bedford and T. Suwa, Eigenvalues of Hopf manifolds, Proc. Amer. Math. Soc., 60 (1976), 259-264.
2) M. Berger, P. Gauduchon et E. Mazet, Le spectre d'une variété riemanniennes, Lecture Notes in Math., Springer-Verlag, 194.
3) D. Blair, Contact manifolds in Riemannian geometry, Lecture Notes in Math., Springer-Verlag, 509.
4) E. Calabi and B. Eckmann, A class of compact complex manifolds which are not algebraic, Ann. of Math., 58 (1953), 494-500.
5) P. Gilkey, Spectral geometry and the Kaehler condition for complex manifolds, Invent. Math., 26 (1974), 231-258.
6) P. Gilkey, The spectral geometry of real and complex manifolds, Proc. Sympos. Pure Math., 27 (1975), 265-280.
7) P. Gilkey, The spectral geometry of a Riemannian manifold, J. Differential Geometry, 10 (1975), 601-618.
8) A. Morimoto, On normal almost contact structures, J. Math. Soc. Japan, 15 (1963), 420-436.
9) J. Morrow and K. Kodaira, Complex manifolds, Holt, Rinehart and Winston, New York.
10) B. O'Neill, The fundamental equations of a submersion, Michigan Math. J., 13 (1966), 459-469.
11) K. Yano, Differential geometry on complex and almost complex spaces, Pergamon Press, 1965.

Right : [1] B. Bedford and T. Suwa, Eigenvalues of Hopf manifolds, Proc. Amer. Math. Soc., 60 (1976), 259-264.
[2] M. Berger, P. Gauduchon et E. Mazet, Le spectre d'une variété riemanniennes, Lecture Notes in Math., Springer-Verlag, 194.
[3] D. Blair, Contact manifolds in Riemannian geometry, Lecture Notes in Math., Springer-Verlag, 509.
[4] E. Calabi and B. Eckmann, A class of compact complex manifolds which are not algebraic, Ann. of Math., 58 (1953), 494-500.
[5] P. Gilkey, Spectral geometry and the Kaehler condition for complex manifolds, Invent. Math., 26 (1974), 231-258.
[6] P. Gilkey, The spectral geometry of real and complex manifolds, Proc. Sympos. Pure Math., 27 (1975), 265-280.
[7] P. Gilkey, The spectral geometry of a Riemannian manifold, J. Differential Geometry, 10 (1975), 601-618.
[8] A. Morimoto, On normal almost contact structures, J. Math. Soc. Japan, 15 (1963), 420-436.
[9] J. Morrow and K. Kodaira, Complex manifolds, Holt, Rinehart and Winston, New York.
[10] B. O'Neill, The fundamental equations of a submersion, Michigan Math. J., 13 (1966), 459-469.
[11] K. Yano, Differential geometry on complex and almost complex spaces, Pergamon Press, 1965.

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

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