A higher dimension generalization of the Sine-Gordon equation and its Bäcklund transformation
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- by Keti Tenenblat and Chuu-Lian Terng PDF
- Bull. Amer. Math. Soc. 1 (1979), 589-593
References
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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.
- Richard S. Palais and Chuu-Lian Terng, The life and mathematics of Shiing Shen Chern, Chern—a great geometer of the twentieth century, Int. Press, Hong Kong, 1992, pp. 18–62. MR 1201340 5. L. P. Eisenhart, A treatise in the differential geometry of curves and surfaces, Ginn and Company, New York, 1909.
- John Douglas Moore, Isometric immersions of space forms in space forms, Pacific J. Math. 40 (1972), 157–166. MR 305312, DOI 10.2140/pjm.1972.40.157
Additional Information
- Journal: Bull. Amer. Math. Soc. 1 (1979), 589-593
- MSC (1970): Primary 53B25; Secondary 35L60
- DOI: https://doi.org/10.1090/S0273-0979-1979-14637-8
- MathSciNet review: 526973