Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2003; 18(2): 289-295

Printed June 1, 2003

Copyright © The Korean Mathematical Society.

On Ruled surfaces in Minkowski spaces

Dong-Soo Kim, Young Ho Kim, Dae Won Yoon

Chonnam National University, Kyungpook National University, Gyeongsang National University

Abstract

In this paper, we study ruled surfaces in Minkowski space, which admit 1-type Gauss map. In particular, non-cylindric -al ruled surfaces with finite type Gauss map are of $k$-type ($k\geq2$).

Keywords: Minkowski space, Gauss map, finite type, ruled surface

MSC numbers: 53B25, 53C50