Minimal translation surfaces in Sol3

Rafael López; Marian Ioan Munteanu

doi:10.2969/jmsj/06430985

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Minimal translation surfaces in Sol₃

Rafael López, Marian Ioan Munteanu

著者情報

キーワード: homogeneous space, translation surface, minimal surface

ジャーナルフリー

2012 年 64 巻 3 号 p. 985-1003

DOI https://doi.org/10.2969/jmsj/06430985

詳細

抄録

In the homogeneous space Sol₃, a translation surface is parametrized by x(s,t) = α(s) * β(t), where α and β are curves contained in coordinate planes and * denotes the group operation of Sol₃. In this paper we study translation surfaces in Sol₃ whose mean curvature vanishes.