An invariant of conformal mappings

An invariant for continuous mappings

Translation invariant mappings on KPC-hypergroups

In this paper, we give an extension of the Wendel's theorem on KPC-hypergroups. We also show that every translation invariant mapping is corresponding with a unique positive measure on the KPC-hypergroup.

Conformal mappings preserving the Einstein tensor of Weyl manifolds

In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...

Approximation of Conformal Mappings Approximation of Conformal Mappings of Annular Regionsy

In this paper we examine the convergence rates in an adaptive version of an orthonormalization method for approximating the conformal map ping f of an annular region A onto a circular annulus In particular we consider the case where f has an analytic extension in compl A and for this case we determine optimal ray sequences of approximants that give the best possible geometric rate of uniform co...

Wandering Domains and Invariant Conformal Structures for Mappings of the 2-torus

A C1 circle diffeomorphism with irrational rotation number need not have any dense orbits. However, any C2 circle diffeomorphism with irrational rotation number must in fact be topologically conjugate to an irrational rotation. This paper addresses the analogous matter for the 2-torus. We say that a diffeomorphism f of T 2, isotopic to the identity, has Denjoy type if hf = Rh, where R is some m...