On the classification of ruled minimal surfaces in pseudo-Euclidean space

Abstract

This paper gives, in generic situations, a complete classification of ruled minimal surfaces in pseudo-Euclidean space with arbitrary index. In addition, we discuss the condition for ruled minimal surfaces to exist, and give a counter-example on the problem of Bernstein type.

14 pages

References in corpus (1)

• On Singular Semi-Riemannian Manifolds

Cited by in corpus (1)

• $d$-minimal surfaces in three-dimensional singular semi-Euclidean space ${\mathbb{R}}^{0,2,1}$