Classification Results for λ-Biminimal Surfaces in 2-Dimensional Complex Space Forms

被引:0
|
作者
T. Sasahara
机构
[1] Hachinohe Institute of Technology,Division of Mathematics, Center for Liberal Arts and Sciences
来源
Acta Mathematica Hungarica | 2014年 / 144卷
关键词
primary 53C42; secondary 53B25; λ-biharmonic map; λ-biharmonic surface; λ-biminimal surface; slant surface; Lagrangian surface; complex space form;
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摘要
We completely classify λ-biharmonic slant surfaces and λ-biminimal Lagrangian surfaces in 2-dimensional complex space forms, under the condition that the mean curvature is nonzero constant. In addition, we provide some examples of λ-biminimal slant surfaces with nonzero constant mean curvature, which are neither Lagrangian nor λ-biharmonic.
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页码:433 / 448
页数:15
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