Bulletin of the American Mathematical Society

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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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

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 53B25, 35L60

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