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Some Theorems on Timelike Ruled Surfaces

Differential Geometry 2019-10-01 v2

Abstract

In this study, we investigate the existence theorems for timelike ruled surfaces in Minkowski 3-space. We obtain a general system and give the existence theorems for a 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.

Keywords

Cite

@article{arxiv.1203.6217,
  title  = {Some Theorems on Timelike Ruled Surfaces},
  author = {Mehmet Önder},
  journal= {arXiv preprint arXiv:1203.6217},
  year   = {2019}
}

Comments

9 pages

R2 v1 2026-06-21T20:41:08.417Z