Biharmonic curves on LP-Sasakian manifolds

2008/11/06 by Sadık Keleş, Keleş, Sadık, Selcen Yüksel Perktaş +3
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:53C25 #msc:53C42 #msc:58C40

paper · pdf · doi:10.48550/arxiv.0811.0928

22 pages

arxiv created 2009/02/17 · arxiv updated 2009/12/01

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 LP-Sasakian manifold to be proper biharmonic. Also, we investigate proper biharmonic curves in the Lorentzian sphere S⁴₁.

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