三维欧氏空间的仿射乘积曲面

宗鹏, 肖琳, 刘会立

数学学报 ›› 2015, Vol. 58 ›› Issue (2) : 329-336.

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数学学报 ›› 2015, Vol. 58 ›› Issue (2) : 329-336. DOI: 10.12386/A2015sxxb0032
论文

三维欧氏空间的仿射乘积曲面

    宗鹏1,2, 肖琳3, 刘会立3
作者信息 +

Affine Factorable Surfaces in Three-Dimensional Euclidean Space

    Peng ZONG1,2, Lin XIAO3, Hui Li LIU3
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文章历史 +

摘要

定义了三维欧氏空间中的仿射乘积曲面,给出了极小仿射乘积曲面以及高斯曲率为零的仿射乘积曲面的分类,同时还给出了平均曲率为非零常数的仿射乘积曲面的分类.

Abstract

Affine factorable surfaces in Euclidean 3-space were defined. The classification of surfaces with zero Gauss curvature and nonzero constant mean curvature and minimal affine factorable surfaces was given.

关键词

仿射乘积曲面 / 平均曲率 / 高斯曲率

Key words

affine factorable surface / mean curvature / Gauss curvature

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宗鹏, 肖琳, 刘会立. 三维欧氏空间的仿射乘积曲面. 数学学报, 2015, 58(2): 329-336 https://doi.org/10.12386/A2015sxxb0032
Peng ZONG, Lin XIAO, Hui Li LIU. Affine Factorable Surfaces in Three-Dimensional Euclidean Space. Acta Mathematica Sinica, Chinese Series, 2015, 58(2): 329-336 https://doi.org/10.12386/A2015sxxb0032

参考文献

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基金

国家自然科学基金资助项目(11371080)

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