Open AccessLegendre curves and the singularities of ruled surfaces obtained by using rotation minimizing frame
Author(s) -
Murat Bekar,
Fouzi Hathout,
Yusuf Yaylı
Publication year - 2021
Publication title -
ukrains’kyi matematychnyi zhurnal
Language(s) - English
Resource type - Journals
ISSN - 1027-3190
DOI - 10.37863/umzh.v73i5.895
Subject(s) - gravitational singularity , rotation (mathematics) , tangent , mathematics , legendre polynomials , mathematical analysis , frame (networking) , legendre function , geometry , computer science , telecommunications
UDC 514.7In this paper, Legendre curves in unit tangent bundle are given using rotation minimizing vector fields. Ruled surfaces corresponding to these curves are represented. Singularities of these ruled surfaces are also analyzed and classified.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom