ON THE GAUSS MAP OF RULED SURFACES IN MINKOWSKI SPACE

ON THE GAUSS MAP OF RULED SURFACES IN MINKOWSKI SPACE

In this paper, we study some characterization of ruled surfaces in Minkowski space in terms of the Gauss map. We give new examples of cylindrical and noncylindrical ruled surfaces in a 4-dimensional Minkowski space with the pointwise 1-type Gauss map.

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Veröffentlicht in:The Rocky Mountain journal of mathematics 2005-01, Vol.35 (5), p.1555-1581
Hauptverfasser: KIM, YOUNG HO, YOON, DAE WON
Format: Artikel
Sprache:eng
Schlagworte:
Cylinders
Euclidean space
Geometric planes
Mathematical congruence
Mathematical surfaces
Mathematical vectors
Minkowski space
Scrolls
Vector fields
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Zusammenfassung:In this paper, we study some characterization of ruled surfaces in Minkowski space in terms of the Gauss map. We give new examples of cylindrical and noncylindrical ruled surfaces in a 4-dimensional Minkowski space with the pointwise 1-type Gauss map.
ISSN:0035-7596
1945-3795
DOI:10.1216/rmjm/1181069651