Conformal CMC-Surfaces in Lorentzian Space Forms*
Conformal CMC-Surfaces in Lorentzian Space Forms*
复制标题
DOI：
10.1007/s11401-006-0041-7
复制
发表时间：
2007-04
期刊：
影响因子：
--
通讯作者：
Changxiong Nie;Xiang Ma;Changping Wang
中科院分区：
文献类型：
--
作者：
Changxiong Nie;Xiang Ma;Changping Wang
Let ℚ3be the common conformal compactification space of the Lorentzian space forms. We study the conformal geometry of space-like surfaces in ℚ3. It is shown that any conformal CMC-surface in ℚ3must be conformally equivalent to a constant mean curvature surface in. We also show that ifx:M→ ℚ3is a space-like Willmore surface whose conformal metricghas constant curvatureK, then eitherK= −1 andxis conformally equivalent to a minimal surface in, orK= 0 andxis conformally equivalent to the surface
