In this paper, we give some examples of proper biharmonic hypersurfaces in de Sitter space S n+1 q (c) and anti-de Sitter space H n+1 q (c), and prove a classification theorem of nondegenerate proper biharmonic hypersurfaces with diagonalizable shape operator and at most two distinct principal curvatures in pseudo-Riemannian space forms N n+1 q (c).

Dissertation zur Erlangung des mathematisch-naturwissenschaftlichen Doktorgrades"Doctor rerum naturalium" der Georg-

In this paper, we firstly derived the equations for the curves of a Lorentz–Minkowski space L3 to be f-biharmonic. Then, using these equations, we classify such unit speed curves in L3.

No abstract