This paper deals with the surfaces of constant mean curvature in the Euclidean space. The first part of the text is devoted to minimal surfaces. We begin our studies with the Enneper-Weirstrass Representation Theorem and ...

A subspace representation of a poset S = {s(1), ..., S-t} is given by a system (V; V-1, ..., V-t) consisting of a vector space V and its sub-spaces V-i such that V-i subset of V-j if s(i) (sic) S-j. For each real-valued ...

Representation theorems relate seemingly complex objects to concrete, more tractable ones. In this paper, we take advantage of the abstraction power of category theory and provide a datatype-generic representation theorem. ...

Given a Lie algebra , let μ(g) and μnil(g) be the minimal dimension of a faithful representation and nilrepresentation of , respectively. In this paper, we give μ(g) and μnil(g) for each nilpotent Lie algebra of dimension ...

Let G be a compact connected semisimple Lie group, let K be a closed subgroup of G, let Γ be a finite subgroup of G, and let τ be a finitedimensional representation of K. For π in the unitary dual G of G, denote by nΓ(π) ...