Minimal ruled submanifolds in Minkowski space Lm

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Kim, Dong-Soo²  Kim, Young Ho¹ 

[1] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea

[2] Chonnam Natl Univ, Dept Math, Kwangju 500757, South Korea

关键词: Ruled submanifold;    Minimal submanifold;    Minkowski space;   

DOI  :  10.1016/j.geomphys.2012.04.003

来源: Elsevier

【 摘 要 】

In this article, we study minimal ruled submanifolds in Minkowski space L-m which include the Riemannian and Lorentzian cases. As a result, we give a complete classification of minimal ruled submanifolds in Minkowski space L-m with arbitrary dimension and codimension. As an immediate byproduct, we achieve the classification of all minimal surfaces in Minkowski space L-m of arbitrary dimension. Crown Copyright (C) 2012 Published by Elsevier B.V. All rights reserved.

【 授权许可】

Free