One-parameter subgroups and minimal surfaces in the Heisenberg group


Abstract


The purpose of this paper is to study the minimal surfaces of to Heisenberg group H<sub>3</sub> which are the product of two one-parameter subgroups. Minimal surfaces with harmonic Gauss map into the Grassmann bundle of H<sub>3</sub> are also characterized.

DOI Code: 10.1285/i15900932v18n1p143

Keywords: Equivariant surface; Minimal surface; Heisenberg group; Harmonic Gauss map

Classification: 53C42; 22E25; 53C30; 53A10; 58E20

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