|
|
| |
| LOCAL ISOMETRIC EMBEDDINGS OF SURFACES INTO A 3-SPACE |
| |
Citation： |
DING Qing,ZHANG Yongqian.LOCAL ISOMETRIC EMBEDDINGS OF SURFACES INTO A 3-SPACE[J].Chinese Annals of Mathematics B,1999,20(2):215~222 |
| Page view： 1049
Net amount： 763 |
Authors： |
DING Qing; ZHANG Yongqian |
Foundation： |
Yuan Foundation of Mathematics (No.19631130) and the Science and Technology Developmental Foundation of Shanghai |
|
|
| Abstract： |
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. |
Keywords： |
Local isometric embeddings, Smooth surface, Curvature |
Classification： |
53C20 |
|
|
Download PDF Full-Text
|
