English

Biharmonic curves on \textit{LP}-Sasakian manifolds

Differential Geometry 2009-02-17 v2

Abstract

In this paper we give necessary and sufficient conditions for spacelike and timelike curves in a conformally flat, quasi conformally flat and conformally symmetric 4-dimensional \textit{LP}-Sasakian manifold to be proper biharmonic. Also, we investigate proper biharmonic curves in the Lorentzian sphere S14S^{4}_{1}.

Keywords

Cite

@article{arxiv.0811.0928,
  title  = {Biharmonic curves on \textit{LP}-Sasakian manifolds},
  author = {Sadık Keleş and Selcen Yüksel Perktaş and Erol Kılıç},
  journal= {arXiv preprint arXiv:0811.0928},
  year   = {2009}
}

Comments

22 pages

R2 v1 2026-06-21T11:38:49.562Z