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| EXPLICIT CONSTRUCTION FOR LOCAL ISOMETRIC IMMERSIONS OF SPACE FORMS |
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Citation： |
HE Qun,SHEN Yibing.EXPLICIT CONSTRUCTION FOR LOCAL ISOMETRIC IMMERSIONS OF SPACE FORMS[J].Chinese Annals of Mathematics B,2003,24(1):97~110 |
| Page view： 1082
Net amount： 751 |
Authors： |
HE Qun; SHEN Yibing |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10271106), the Science
Foundation of the Ministry of Education of China, and the Natural Science Foundation of Zhejiang
Province, China. |
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| Abstract： |
By using Darboux transformations, the authors give the explicit construction
for local isometric immersions of space forms $M^n(c)$ into space forms
$M^{2n-1}(c+\varepsilon^2)$ via purely algebraic algorithm. |
Keywords： |
Space form, Isometric immersion, Darboux transformation |
Classification： |
53C42, 35Q58 |
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