B-scrolls with non-diagonalizable shape operators

被引：11
作者：
Kim, DS [1 ]
Kim, YH
机构：
[1] Chonnam Natl Univ, Coll Nat Sci, Dept Math, Kwangju 500757, South Korea
[2] Kyungpook Natl Univ, Coll Nat Sci, Dept Math, Taegu 702701, South Korea
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2003年 / 33卷 / 01期
关键词：
isoparametric; 2-type; Lorentzian surfaces; shape operators;
D O I：
10.1216/rmjm/1181069992
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study some Lorentzian surfaces in the three-dimensional Lorentzian space forms whose shape operators are not diagonalizable at least at one point. It is related to the so-called notion of 2-type surfaces. A local classification theorem in this respect is obtained.
引用
收藏
页码：175 / 190
页数：16
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