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| Complete Hypersurfaces with Constant Scalar Curvature and Constant Mean Curvature in R^4 |
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Citation： |
Huang Xuanguo.Complete Hypersurfaces with Constant Scalar Curvature and Constant Mean Curvature in R^4[J].Chinese Annals of Mathematics B,1985,6(2):177~184 |
| Page view： 761
Net amount： 735 |
Authors： |
Huang Xuanguo; |
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| Abstract： |
Let M be a 3-dimersionaI complete and connected hyperscrface immersed in R^4. If the scalar curvature R and the mean curvature |H| of M are constants, where |H|\ne0,R\geq 0, then there are only three cases: R=6|H|^2,\frac{9}{2}|H|^2 and 0. Moreoven we can find some hypersurfaces appropriate to these cases. |
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