On f-Biharmonic Hypersurfaces

  • Selcen Yuksel Perktas
  • Feyza Esra Erdogan Adiyaman University
  • Bilal Eftal Acet
Keywords: Biharmonic map, f-biharmonic map, Lorentzian para-Sasakian manifold.

Abstract

In the present paper, we study spacelike and timelike f-biharmonic hypersurfaces in Lorentzian para-Sasakian manifolds. We investigate f-biharmonic equations for spacelike hypersurfaces of an Lorentzian para-Sasakian manifold with a constant and harmonic mean curvature. Also we give some results for f-biharmonic timelike hypersurfaces in $\eta$-Einstein Lorentzian para-Sasakian manifolds.

Published
2018-04-24