Harmonic mappings from Rm into an Hadamard manifold

Atsushi TACHIKAWA

doi:10.2969/jmsj/04210147

Harmonic mappings from R^m into an Hadamard manifold

Atsushi TACHIKAWA

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JOURNAL FREE ACCESS

1990 Volume 42 Issue 1 Pages 147-153

DOI https://doi.org/10.2969/jmsj/04210147

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Published: 1990 Received: December 26, 1988 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. Giaquinta and S. Hildebrandt, A priori estimates for harmonic mappings, J. Reine Angew. Math., 336 (1982), 124-164.
2) D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order (second edition), Springer, 1983.
3) S. Hildebrandt, J. Jost and K.-O. Widman, Harmonic mappings and minimal submanifolds, Invent. Math., 62 (1980), 269-298.
4) S. Hildebrandt and H. Kaul, Two-dimensional variational problems with obstructions, and Plateau's problem for H-surfaces in a Riemannian manifold, Comm. Pure Appl. Math., 25 (1972), 187-223.
5) L. Karp, The growth of harmonic functions and mappings, Differential Geometry Proceedings, Special Year, Maryland 1981-1982 (Progress in Mathematics, Vol. 32), Birkhäuser, 1983, pp. 153-161.
6) A. Tachikawa, On interior regularity and Liouville's theorem for harmonic mappings, Manuscripta Math., 42 (1983), 11-40.
7) A. Tachikawa, Rotationally symmetric harmonic maps from a ball into a warped product manifold, Manuscripta Math., 53 (1985), 235-254.
8) A. Tachikawa, A non-existence result for harmonic mappings from Rⁿ into Hⁿ, Tokyo J. Math., 11 (1988), 311-316.

Right : [1] M. Giaquinta and S. Hildebrandt, A priori estimates for harmonic mappings, J. Reine Angew. Math., 336 (1982), 124-164.
[2] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order (second edition), Springer, 1983.
[3] S. Hildebrandt, J. Jost and K.-O. Widman, Harmonic mappings and minimal submanifolds, Invent. Math., 62 (1980), 269-298.
[4] S. Hildebrandt and H. Kaul, Two-dimensional variational problems with obstructions, and Plateau's problem for H-surfaces in a Riemannian manifold, Comm. Pure Appl. Math., 25 (1972), 187-223.
[5] L. Karp, The growth of harmonic functions and mappings, Differential Geometry Proceedings, Special Year, Maryland 1981-1982 (Progress in Mathematics, Vol. 32), Birkhäuser, 1983, pp. 153-161.
[6] A. Tachikawa, On interior regularity and Liouville's theorem for harmonic mappings, Manuscripta Math., 42 (1983), 11-40.
[7] A. Tachikawa, Rotationally symmetric harmonic maps from a ball into a warped product manifold, Manuscripta Math., 53 (1985), 235-254.
[8] A. Tachikawa, A non-existence result for harmonic mappings from Rⁿ into Hⁿ, Tokyo J. Math., 11 (1988), 311-316.

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

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