| Hn+1(c)中的有限型旋转曲面 |
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| 引用本文： | 黄安民,黎镇琦,欧阳崇珍.Hn+1(c)中的有限型旋转曲面[J].数学杂志,2003,23(1):95-101. |
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| 作者姓名： | 黄安民 黎镇琦 欧阳崇珍 |
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| 作者单位： | 南昌大学数学系,南昌,330047 |
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| 基金项目： | 国家自然科学基金，江西省自然科学基金资助项目，南昌大学基金资助项目。 |
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| 摘 要： | 研究E1n+2中双曲空间Hn+1(c)的坐标函数是其Laplacian的特征函数的球型、双曲型及抛物型旋转曲面Ma的性质,得到Ma或为Hn+1(c)的极小超曲面.或者可与 (球型),或 (双曲型)叠合.
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| 关 键 词： | 伪欧氏空间E1^n＋2有限型 旋转曲面 极小曲面 叠合 |
| 文章编号： | 0255-7797(2003)01-0095-07 |
ROTATIONAL SURFACES OF FINITE TYPE IN Hn+1(c) |
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| HUANG An-min LI Zhen-qi OUYANG Chong-zhen.ROTATIONAL SURFACES OF FINITE TYPE IN Hn+1(c)[J].Journal of Mathematics,2003,23(1):95-101. |
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| Authors: | HUANG An-min LI Zhen-qi OUYANG Chong-zhen |
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| Abstract: | In this paper, properties of the spherical, hyperbolic and parbolic rotation hypersurface M(?)whose coordinate functions are proper functions of their Laplaces in H (c)are studied. Further, the following result is obtained: M(?) is either a minimal hypereurface or congruent to(in spherical) or (in hyperbolic). |
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| Keywords: | Semi-Euclidean apace finite type rotational surface minimal surface congruent |
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