A Study on f-Biharmonic Curves in S(1,4)


Acet B. E. , Perktas S. Y. , Erdogan F. E.

1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS), Antalya, Turkey, 30 April - 04 May 2018, vol.1991 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1991
  • Doi Number: 10.1063/1.5047874
  • City: Antalya
  • Country: Turkey

Abstract

In this paper, we study f-biharmonic curves as the critical points of the f-bienergy functional. W give necessary and sufficient conditions for a curve having a timelike binormal vector lying on a 4-dimensional conformally flat, quasi-conformally flat and conformally symmetric Lorentzian para-Sasakian manifold to be an f-biharmonic curve. Moreover, we introduce proper f-billarmonie curves on the Lorentzian sphere S-1(4).