Asymptotic directions on a surface in a 4-dimensional metric Lie group

Bayard, Pierre; Sánchez-Bringas, Federico

doi:10.2969/aspm/07810163

VOL. 78 | 2018 Asymptotic directions on a surface in a 4-dimensional metric Lie group

Chapter Author(s) Pierre Bayard, Federico Sánchez-Bringas

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Minoru Yamamoto, Kentaro Saji, Takahiro Yamamoto, Masatomo Takahashi

Adv. Stud. Pure Math., 2018: 163-182 (2018) DOI: 10.2969/aspm/07810163

Abstract

In this paper we introduce the notion of asymptotic directions of a surface in a 4-dimensional riemannian manifold, and study the special case of a surface in a 4-dimensional metric Lie group. It appears that this notion depends on the left invariant metric in general.