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

Conference paper > Full Text · 2018

Authors: Bilal Eftal Acet, Selcen Yuksel Perktas, Feyza Esra ERDOĞAN

1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS), Turkey, Antalya, International, Verbal, Full Text, 2018-2018, WoS, vol 1991, pp 020001-020001

DOI: 10.1063/1.5047874

Summary

In this paper, we study f−biharmonic curves as the critical points of the f−bienergy functional. We 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−biharmonic curves on the Lorentzian sphere S14.

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