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A higher dimension generalization of the Sine-Gordon equation and its Bäcklund transformation
Author(s):
Keti
Tenenblat;
Chuu-Lian
Terng
Journal:
Bull. Amer. Math. Soc.
1
(1979),
589-593.
MSC (1970):
Primary 53B25;
Secondary 35L60
MathSciNet review:
526973
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References |
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Additional information
References:
- 1.
- A. V. Bäcklund, Concerning surfaces with constant negative curvatures, translated by E. M. Coddington, Lancaster, Pa. New Era Printing Co.
- 2.
- A. Barone, F. Esposito, C. J. Magee and A. C. Scott, Theory and applications of the Sine-Gordon equation, Riv. Nuovo Cimento 1 (1971), 227-267.
- 3.
- É. Cartan, Sur les variétés de courbure constante d'un space euclidien ou non-euclidien, Bull. Soc. Math. France 47 (1919), 125-160; 48 (1920), 132-208.
- 4.
- S. S. Chern and C. L. Terng, An analogue of Bäcklund's theorem in affine geometry, Rocky Mountain J. (to appear). MR 1201340
- 5.
- L. P. Eisenhart, A treatise in the differential geometry of curves and surfaces, Ginn and Company, New York, 1909.
- 6.
- J. D. Moore, Isometric immersions of space forms in space forms, Pacific J. Math. 40 (1972), 157-166. MR 305312
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Additional Information:
DOI:
10.1090/S0273-0979-1979-14637-8
PII:
S 0273-0979(1979)14637-8
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