On the group of diffeomorphisms commuting with an elliptic operator

Kenrô FURUTANI

doi:10.2969/jmsj/03510153

Kenrô FURUTANI

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JOURNAL FREE ACCESS

1983 Volume 35 Issue 1 Pages 153-162

DOI https://doi.org/10.2969/jmsj/03510153

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Published: 1983 Received: December 08, 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: AUTHOR Details: Wrong : Kenro FURUTANI¹⁾
Right : Kenrô FURUTANI¹⁾

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Y. Akizuki, The theory of harmonic integrals, Iwanami, Tokyo, 1973.
2) S. Agmon, On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems, Comm. Pure Appl. Math., 15 (1962), 119-147.
3) J.H. Albert, Genericity of simple eigenvalues for elliptic PDE's, Proc. Amer. Math. Soc., 48 (1975), 413-418.
4) H. Chu and S. Kobayashi, The automorphism group of a geometric structure, Trans. Amer. Math. Soc., 113 (1964), 141-150.
5) S.I. Goldberg and T. Ishihara, Riemannian submersions commuting with the Laplacian, J. Differential Geometry, 13 (1978), 139-144.
6) D. Montgomery and L. Zippin, Topological transformation groups, Interscience, New York, 1955.
7) R. Narashimhan, Analysis on real and complex manifolds, North Holland, Amsterdam, 1968.
8) R.S. Palais, A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc., 22 (1957).
9) K. Uhlenbeck, Generic properties of eigenfunctions, Amer. J. Math., 98 (1976), 1059-1078.
10) B. Watson, Manifold maps commuting with the Laplacians, J. Differential Geometry, 8 (1973), 85-94.

Right : [1] Y. Akizuki, The theory of harmonic integrals, Iwanami, Tokyo, 1973.
[2] S. Agmon, On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems, Comm. Pure Appl. Math., 15 (1962), 119-147.
[3] J. H. Albert, Genericity of simple eigenvalues for elliptic PDE's, Proc. Amer. Math. Soc., 48 (1975), 413-418.
[4] H. Chu and S. Kobayashi, The automorphism group of a geometric structure, Trans. Amer. Math. Soc., 113 (1964), 141-150.
[5] S. I. Goldberg and T. Ishihara, Riemannian submersions commuting with the Laplacian, J. Differential Geometry, 13 (1978), 139-144.
[6] D. Montgomery and L. Zippin, Topological transformation groups, Interscience, New York, 1955.
[7] R. Narashimhan, Analysis on real and complex manifolds, North Holland, Amsterdam, 1968.
[8] R. S. Palais, A global formulation of the Lie theory of transformation groups, Mem. Amer. Math. Soc., 22 (1957).
[9] K. Uhlenbeck, Generic properties of eigenfunctions, Amer. J. Math., 98 (1976), 1059-1078.
[10] B. Watson, Manifold maps commuting with the Laplacians, J. Differential Geometry, 8 (1973), 85-94.

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

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