Displaying 61 – 80 of 119

Showing per page

Geometric characterization for affine mappings and Teichmüller mappings

Zhiguo Chen (2003)

Studia Mathematica

We characterize affine mappings on the unit disk and on rectangles by module conditions. The main result generalizes the classic Schwarz lemma. As an application, we give a sufficient condition for a K-quasiconformal mapping on a Riemann surface to be a Teichmüller mapping.

Geometric characterization for homeomorphisms between disks

Shulong Li, Lixin Liu (2008)

Studia Mathematica

We give some characterizations for certain homeomorphisms between disks in the complex plane, and we prove some Schwarz type theorems for such homeomorphisms. Our results replace the main result of Chen [Studia Math. 157 (2003)] which we show to be false.

Geometric properties of Wright function

Sudhananda Maharana, Jugal K. Prajapat, Deepak Bansal (2018)

Mathematica Bohemica

In the present paper, we investigate certain geometric properties and inequalities for the Wright function and mention a few important consequences of our main results. A nonlinear differential equation involving the Wright function is also investigated.

Geometric rigidity of conformal matrices

Daniel Faraco, Xiao Zhong (2005)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We provide a geometric rigidity estimate à la Friesecke-James-Müller for conformal matrices. Namely, we replace SO ( n ) by an arbitrary compact set of conformal matrices, bounded away from 0 and invariant under SO ( n ) , and rigid motions by Möbius transformations.

Currently displaying 61 – 80 of 119