Quasi-minimal Rotational Surfaces in Pseudo-Euclidean Four-dimensional Space

Abstract

In the four-dimensional pseudo-Euclidean space with neutral metric there are three types of rotational surfaces with two-dimensional axis - rotational surfaces of elliptic, hyperbolic or parabolic type. A surface whose mean curvature vector field is lightlike is said to be quasi-minimal. In this paper we classify all quasi-minimal rotational surfaces of elliptic, hyperbolic and parabolic type, respectively.

16 pages

References in corpus (4)

• Marginally Trapped Surfaces in the Nonsymmetric Gravitational Theory
• Boost invariant marginally trapped surfaces in Minkowski 4-space
• An invariant theory of marginally trapped surfaces in the four-dimensional Minkowski space
• Marginally trapped surfaces in Minkowski 4-space invariant under a rotation subgroup of the Lorentz group