Rashad A. Abdel-Bakya, Monia F. Naghi, "Timelike Sweeping Surfaces According to Type-2 Bishop Frame in Minkowski 3–space," WSEAS Transactions on Mathematics, vol. 19, pp. 555-563, 2020, DOI:10.37394/23206.2020.19.60
Rashad A. Abdel-Bakya, Monia F. Naghi. Timelike Sweeping Surfaces According to Type-2 Bishop Frame in Minkowski 3–space.
WSEAS Transactions on Mathematics. 2020;19:555-563. 10.37394/23206.2020.19.60
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 19, 2020
Timelike Sweeping Surfaces According to Type-2 Bishop Frame in Minkowski 3–space
Authors: ,
Abstract: In this paper, we express timelike sweeping surfaces using rotation minimizing frames in Minkowski 3-Space E3 1 . Necessary and sufficient conditions for timelike sweeping surfaces to be developable ruled surfaces are derived. Using these, we analyze the conditions when the resulting timelike developable surface is a cylinder, cone or tangential surface.
Keywords:
Rotation minimizing frame, Local singularities and convexity. AMS Subject Classiffication (2010): Primary: 53C50. Secondary: 53A04, 53C40
Pages: 555-563 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 19, 2020, Art. #60 DOI: 10.37394/23206.2020.19.60
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