Existence Theorems for Timelike Ruled Surfaces in Minkowski 3-Space

Details Existence Theorems for Timelike Ruled Surfaces in Minkowski 3-Space Existence Theorems for Timelike Ruled Surfaces in Minkowski 3-Space

2012-03-28

arxiv.org/abs/1203.6217v1

Mathematics

Differential Geometry

8 pages

Scientific paper

In this study we investigate the existence theorems for timelike ruled surfaces in Minkowski 3-space. We obtained a general system and give the existence theorems for timelike ruled surface according to Gaussian curvature, distribution parameter and strictional distance. Moreover, we give some special cases such as the directirx of the surface is a geodesic, an asymptotic line, a line of curvature or a general helix.

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