... , v ] g , for any u , v , w ∈ g , < A u v , w > g + < v , A u w > g = 0 . Harmonic homomorphisms Unimodular Riemannian Lie groups Invariant metrics 53C30 53C43 22E15 The theory of harmonic maps...

... Translation surface Space-like surface 53A10 53C30 53C42 53C50 A Euclidean submanifold is said to be of finite Chen type if its coordinate functions are finite sum of eigenfunctions of its Laplacian [ 1 ]. Chen posed the problem of classifying the finite type surfaces in the three...

.... 22E25 53C30 53C60 Research into left-invariant Riemannian metrics on Lie groups is an active subject of research and this topic is mentioned among many author’s works so far. The curvature properties of such metrics on various kinds of Lie groups are mainly investigated in classical works...