논문KCI 등재
Bertrand mates of circular helices
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
Every circular helix in E^3 is a typical example of Bertrand curves and has in nitely many Bertrand mates. We provide a new explicit proof of the wellknown results concerning the characterization of Bertrand curves and also of the Bertrand mates of a circular helix.
Abstract
Every circular helix in E^3 is a typical example of Bertrand curves and has in nitely many Bertrand mates. We provide a new explicit proof of the wellknown results concerning the characterization of Bertrand curves and also of the Bertrand mates of a circular helix.
참고문헌 (7)
- Yu.A.Aminov, "The Geometry of Submanifolds" (2001), Gordon and Breach Science Publishers
- Yu. A. Aminov, "Differential Geometry and Topology of Curves" (2000), Gordon and Breach Science Publishers
- P.A.Blaga, "Lectures on the Differential Geometry of Curves and Surfaces" (2005), Napoca Press
- M. P. do Carmo, "Differential Geometry of Curves and Surfaces" (1976), Prentice-Hall
- C.-C. Hsiung, "A First Course in Differential Geometry" (1997), International Press
- H. Matsuda, "Notes on Bertrand curves", Yokohama Math. J, 50, pp.41~58 (2003)
- R.S.Millman, "Elements of Differential Geometry" (1977), Prentice-Hall Inc
관련 논문AI추천
Spherical Indicatrix of a New Approach to Bertrand Curves in Euclidean 3-spaceRam Shankar Gupta, Stuti Tamta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제2호Bertrand curves in non-flat 3-dimensional (Riemannian or Lorentzian) space formsJose Antonio Ortega-Yagues, Pascual Lucas대한수학회 · 대한수학회보2013 · 제50권 제4호A New Type of Helix Constructed by Plane Curves최진호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호SOME ISOTROPIC CURVES AND REPRESENTATION IN COMPLEX SPACE C3김영호, Jinhua Qian대한수학회 · 대한수학회보2015 · 제52권 제3호Curves on the unit 3-sphere S3(1) in Euclidean 4-space R4김찬용, 박정형, Sinsuke Yorozu대한수학회 · 대한수학회보2013 · 제50권 제5호BERTRAND CURVES AND RAZZABONI SURFACES IN MINKOWSKI 3-SPACEChuanyou Xu, Peng Zhu, Xifang Cao대한수학회 · 대한수학회보2015 · 제52권 제2호
이 간행물의 다른 논문 (10건)
An extension of one of Klamkin's inequalitiesKrassimir T. Atanassovpp. 347-350A note on the extended q-Bernoulli numbers and polynomials최종성, 김영희, 김태균pp. 351-354Antipodal signed digraphsB. Prashanth, T. R. Vasanth Kumar, P. Siva Kota Reddypp. 355-360A formula for the continuous pseudocharacters on connected locally compact groupsA. I. Shternpp. 361-365Unification of multiple Lerch zeta type functionsYilmaz Simsek, A. Ahmet Aygunespp. 367-373