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| Regular Submanifolds in Conformal Space ${\mathbb Q}^n_p$ |
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Citation： |
Changxiong NIE,Chuanxi WU.Regular Submanifolds in Conformal Space ${\mathbb Q}^n_p$[J].Chinese Annals of Mathematics B,2012,33(5):695~714 |
| Page view： 2234
Net amount： 1329 |
Authors： |
Changxiong NIE; Chuanxi WU; |
Foundation： |
the National Natural Science Foundation of China (No. 10971055) and the Natural Science Foundation of the Educational Commission of Hubei Province (Key Program) (No.D1120111007). |
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| Abstract： |
The authors study the regular submanifolds in the conformal space ${\mathbb Q}^n_p$ and introduce the submanifold theory in the conformal space ${\mathbb Q}^n_p$. The first variation formula of the Willmore volume functional of pseudo-Riemannian submanifolds in the conformal space ${\mathbb Q}^n_p$ is given. Finally, the conformal isotropic submanifolds in the conformal space ${\mathbb Q}^n_p$ are classified. |
Keywords： |
Conformal space, Conformal invariants, Willmore submanifolds,Conformal isotropic |
Classification： |
53A30, 53C50 |
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