EXPLICIT CONSTRUCTION FOR LOCAL ISOMETRIC IMMERSIONS OF SPACE FORMS

EXPLICIT CONSTRUCTION FOR LOCAL ISOMETRIC IMMERSIONS OF SPACE FORMS

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摘要 By using Darboux transformations, the authors give the explicit construction for local iso-metric immersions of space forms Mn(c) into space forms M2n-1(c + ε2) via purely algebraicalgorithm.

作者 HE QUN SHEN YIBING

机构地区 Department of Applied Mathematics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2003年第1期97-110,共14页 数学年刊（B辑英文版）

基金 Project supported by the National Natural Science Foundation of China (No.10271106) the Science Foundation of the Ministry of Education of China the Natural Science Foundation of Zhejiang Province, China.

关键词 Space form Isometric immersion Darboux transformation 显式结构局部等距浸入空间型 Darboux变换 Backlund变换双扭分层平凡解 Lax对

分类号 O186.16 [理学—基础数学]

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Chinese Annals of Mathematics,Series B

2003年第1期

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EXPLICIT CONSTRUCTION FOR LOCAL ISOMETRIC IMMERSIONS OF SPACE FORMS

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