Application of Soliton Theory to the Construction of Isometric Immersions of M^{{n_{1} }} {left( {c_{1} } right)} times M^{{n_{2} }} {left( {c_{2} } right)} into Constant Curvature Spaces M n (±1) |
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| Authors: | Jian Hua Chen |
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| Affiliation: | (1) Department of Mathematics, Peking University, Beijing 100871, P. R. China, Department of Mathematics, Armored Force Engineering Institute, Beijing 100072, P. R. China E-mail: jianhua1155@sina.com, CN |
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| Abstract: | In this paper, we apply the soliton theory to the case of isometric immersion in differential geometry and obtain a family of isometric immersions from M n 1(c 1) ×M n 2(c 2) to space forms M n (c) by introducing 2-parameter loop algebra. Received July 14, 1999, Accepted June 15, 2000 |
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| Keywords: | Soliton theory Isometric immersion Riemaniann product |
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