Mathematical Journal of Okayama University 61巻 1号
2019-01 発行

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

Sato, Yuichiro Department of Mathematical Sciences Tokyo Metropolitan University
Publication Date
2019-01
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.
Keywords
minimal surface
ruled surface
pseudo-Euclidean space
Comments
Mathematics Subject Classification. Primary 53A10; Secondary 53B30.