Gauss Map and Its Applications on Ruled Submanifolds in Minkowski Space

被引：2

作者：

Jung, Sun Mi ^{[1
]}

Kim, Young Ho ^{[1
]}

机构：

[1] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea

来源：

SYMMETRY-BASEL | 2018年 / 10卷 / 06期

关键词：

finite-type immersion; pointwise 1-type Gauss map of the second kind; generalized B-scroll kind; B-SCROLLS; SURFACES; CLASSIFICATION;

D O I：

10.3390/sym10060218

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study ruled submanifolds in Minkowski space in regard to the Gauss map satisfying some partial differential equation. As a generalization of usual cylinders, cones and null scrolls in a three-dimensional Minkowski space, a cylinder over a space curve, a product manifold of a right cone and a k-plane, a product manifold of a hyperbolic cone and a k-plane which look like kinds of cylinders over cones in 3-space, and the generalized B-scroll kind in Minkowski space are characterized with the partial differential equation regarding the Gauss map, where k is a positive integer.

引用

页数：39

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