... Unimodular Riemannian Lie groups Invariant metrics 53C30 53C43 22E15 The theory of harmonic maps is old and rich and has gained a growing interest in the past decade (see Ref. [ 1 ] and others). The theory of harmonic maps into Lie groups has been extensively studied related homomorphism...

... and that g₃ is flat. Recently, in [ 11 ] Cakmak, Karakan, Kiziltug and Yoon studied the translation surfaces in three-dimensional Galilean space under the condition. Lorentz Heisenberg space Laplace operator Translation surface Space-like surface 53A10 53C30 53C42 53C50...

... of this article (for both commercial and non-commercial purposes), subject to full attribution to the original publication and authors. The full terms of this licence may be seen at http://creativecommons.org/licences/by/4.0/legalcode Heisenberg group Randers metrics Flag curvature 22E25 53C30...