Local distortion of M-conformal mappings
نویسندگان
چکیده
منابع مشابه
Local distortion of M-conformal mappings
A conformal mapping in a plane domain locally maps circles to circles. More generally, quasiconformal mappings locally map circles to ellipses of bounded distortion. In this work, we study the corresponding situation for solutions to Stein-Weiss systems in the (n + 1)D Euclidean space. This class of solutions coincides with the subset of monogenic quasiconformal mappings with nonvanishing hyper...
متن کاملConformal 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...
متن کاملExtremal Mappings of Finite Distortion
The theory of mappings of nite distortion has arisen out of a need to extend the ideas and applications of the classical theory of quasiconformal mappings to the degenerate elliptic setting. There one nds concrete applications in materials science, particularly non-linear elasticity and critical phase phenomena, and the calculus of variations. In this paper we re ne and extend these connections...
متن کاملApproximation 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...
متن کاملConformal Mappings in Relativistic Astrophysics
We describe the use of conformalmappings as amathematicalmechanism to obtain exact solutions of the Einstein field equations in general relativity. The behaviour of the spacetime geometry quantities is given under a conformal transformation, and the Einstein field equations are exhibited for a perfect fluid distribution matter configuration. The field equations are simplified and then exact sta...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2014
ISSN: 0096-3003
DOI: 10.1016/j.amc.2014.09.123