| DING Qing,ZHANG Yongqian.[J].数学年刊A辑,1999,20(2):215~222 |
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| LOCAL ISOMETRIC EMBEDDINGS OF SURFACES INTO A 3-SPACE |
| Received:May 22, 1997 Revised:December 19, 1997 |
| DOI： |
| 中文关键词: |
| 英文关键词:Local isometric embeddings, Smooth surface, Curvature |
| 基金项目: |
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| 中文摘要: |
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| 英文摘要: |
| In the paper, the authors show that any abstract smooth surface can be locally isometrically embedded into a class of $3$-dimensional spaces $N_{\rho_0}$ $(\rho_{0}>0)$ with the non-positively sectional curvature being fixed sufficiently small. |
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