Extensions of the duality between minimal surfaces and maximal surfaces

被引：15
作者：
Lee, Hojoo [1 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul, South Korea
来源：
GEOMETRIAE DEDICATA | 2011年 / 151卷 / 01期
关键词：
Mean curvature; Bundle curvature; Duality; MEAN-CURVATURE SURFACES; MINKOWSKI SPACE;
D O I：
10.1007/s10711-010-9539-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
As a generalization of the classical duality between minimal graphs in E (3) and maximal graphs in L (3), we construct the duality between graphs of constant mean curvature H in Bianchi-Cartan-Vranceanu space E (3)(kappa, tau) and spacelike graphs of constant mean curvature tau in Lorentzian Bianchi-Cartan-Vranceanu space L (3)(kappa, H).
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页码：373 / 386
页数：14
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