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Classification of marginally trapped surfaces with parallel mean curvature vector in Lorentzian space forms

- Bang-Yen Chen, J. Veken
- Mathematics
- 2010

Remarks on an inequality involving the normal scalar curvature

- F. Dillen, Johan Fastenakels, J. Veken
- Mathematics
- 24 October 2006

We study a pointwise inequality for submanifolds in real space forms involving the scalar curvature, the normal scalar curvature and the mean curvature. We translate it into an algebraic problem,… Expand

A complete classification of parallel surfaces in three-dimensional homogeneous spaces

- Jun-Ichi Inoguchi, J. Veken
- Mathematics
- 1 February 2008

We complete the classification of surfaces with parallel second fundamental form in all three-dimensional homogeneous spaces.

Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms

- Bang-Yen Chen, J. Veken
- Mathematics
- 30 March 2009

ON EXTRINSICALLY SYMMETRIC HYPERSURFACES OF ℍ n ×ℝ

- G. Calvaruso, D. Kowalczyk, J. Veken
- Mathematics
- 1 December 2010

Totally umbilical, semi-parallel and parallel hypersurfaces of ℍ n ×ℝ are completely classified. More examples arise than in the analogous study on the ambient space 𝕊 n ×ℝ.

LORENTZIAN SYMMETRIC THREE-SPACES AND THE CLASSIFICATION OF THEIR PARALLEL SURFACES

- G. Calvaruso, J. Veken
- Mathematics
- 1 October 2009

We describe a global model for Lorentzian symmetric three-spaces admitting a parallel null vector field, and classify completely the surfaces with parallel second fundamental form in all Lorentzian… Expand

Parallel surfaces in Lorentzian three-manifolds admitting a parallel null vector field

- G. Calvaruso, J. Veken
- Mathematics
- 13 August 2010

We classify parallel surfaces in Lorentzian three-manifolds admitting a parallel null vector field. Some families of semi-parallel surfaces are also described.

Rotation hypersurfaces in and

- J. Veken
- Physics
- 4 January 2009

We introduce the notion of rotation hypersurfaces of and and we prove a criterium for a hypersurface ofone of these spaces to be a rotation hypersurface. Moreover, weclassify minimal rotation… Expand

Classification of constant angle surfaces in a warped product

- F. Dillen, M. Munteanu, J. Veken, L. Vrancken
- Mathematics
- 2011

Let I µ R be an open interval, f : I ! R a strictly positive function and denote by E 2 the Euclidean plane. We classify all surfaces in the warped product manifold I £f E 2 for which the unit normal… Expand

Spatial and Lorentzian surfaces in Robertson-Walker space times

- Bang-Yen Chen, J. Veken
- Mathematics
- 12 July 2007

Let L14(f,c)=(I×fS,gfc) be a Robertson-Walker space time which does not contain any open subset of constant curvature. In this paper, we provide a general study of nondegenerate surfaces in L14(f,c).… Expand

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