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We study the non-lightlike ruled surfaces in Minkowski 3-space with non-lightlike base curve c(s) =∫(αt + βn + γb)ds, where t, n, b are the tangent, principal normal and binormal… Click to show full abstract
We study the non-lightlike ruled surfaces in Minkowski 3-space with non-lightlike base curve c(s) =∫(αt + βn + γb)ds, where t, n, b are the tangent, principal normal and binormal vectors of an arbitrary timelike curve Γ(s). Some important results of flat, minimal, II-minimal and II-flat non-lightlike ruled surfaces are studied. Finally, the following interesting theorem is proved: the only non-zero constant mean curvature (CMC) non-lightlike ruled surface is developable timelike ruled surface generated by binormal vector.
Keywords:
ruled surfaces;
lightlike ruled;
minkowski space;
non lightlike
Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2017
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Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2017
Link to full text (if available)
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recommendations!