Classification of ruled surfaces in Minkowski 3-spaces

被引:65
作者
Kim, YH [1 ]
Yoon, DW
机构
[1] Gyeongsang Natl Univ, Coll Educ, Dept Math, Chinju 660701, South Korea
[2] Kyungpook Natl Univ, Coll Nat Sci, Dept Math, Taegu 702701, South Korea
关键词
Minkowski space; ruled surface; second Gaussian curvature; mean curvature; minimal surface;
D O I
10.1016/S0393-0440(03)00084-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study some properties about the second Gaussian curvature of ruled surfaces in a three-dimensional Minkowski space. Furthermore, we classify ruled surfaces in a three-dimensional Minkowski space in terms of the second Gaussian curvature, the mean curvature and the Gaussian curvature. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:89 / 100
页数:12
相关论文
共 12 条
[1]   On the inner curvature of the second fundamental form of helicoidal surfaces [J].
Baikoussis, C ;
Koufogiorgos, T .
ARCHIV DER MATHEMATIK, 1997, 68 (02) :169-176
[2]   RULED SURFACES WITH VANISHING 2ND GAUSSIAN CURVATURE [J].
BLAIR, DE ;
KOUFOGIORGOS, T .
MONATSHEFTE FUR MATHEMATIK, 1992, 113 (03) :177-181
[3]  
Chen B. Y., 1984, SERIES PURE MATH, V1
[4]   SUBMANIFOLDS WITH FINITE-TYPE GAUSS MAP [J].
CHEN, BY ;
PICCINNI, P .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1987, 35 (02) :161-186
[5]  
CHOI SM, 1995, TSUKUBA J MATH, V19, P285
[6]  
DEWOESTIJNE IV, 1990, GEOMETRY TOPOLOGY SU, V2, P344
[7]   CODIMENSION ONE ISOMETRIC IMMERSIONS BETWEEN LORENTZ SPACES [J].
GRAVES, LK .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 252 (AUG) :367-392
[8]   Ruled surfaces with pointwise 1-type Gauss map [J].
Kim, YH ;
Yoon, DW .
JOURNAL OF GEOMETRY AND PHYSICS, 2000, 34 (3-4) :191-205
[9]  
KOBAYASHI O, 1983, TOKYO J MATH, V6, P297, DOI DOI 10.3836/TJM/1270213872
[10]   CHARACTERISTIC PROPERTY OF SPHERE [J].
KOUFOGIORGOS, T ;
HASANIS, T .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 67 (02) :303-305