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Full Description
In August 1995 an international symposium on "Quasiconformal Mappings and Analysis" was held in Ann Arbor on the occasion of Professor Fred- erick W. Gehring's 70th birthday and his impending retirement from the Mathematics Department at the University of Michigan. The concept of the symposium was to feature broad survey talks on a wide array of topics related to Gehring's basic research contributions in the field of quasicon- formal mappings, emphasizing their relations to other parts of analysis. Principal speakers were Kari Astala, Albert Baernstein, Clifford Earle, Pe- ter Jones, Irwin Kra, OUi Lehto, Gaven Martin, Dennis Sullivan, and Jussi Vaisala. Financial support was provided by the National Science Founda- tion, with additional grants from the University of Michigan and from the Institute for Mathematics and its Applications. The symposium was a great success. The speakers rose to the occasion and presented excellent survey lectures. The present volume was conceived as a means for disseminating those expositions to a wider audience. Ad- ditional mathematicians, some of whom had not been able to attend the symposium, were invited to contribute similar articles.
The result is a fit- ting tribute to Fred Gehring's pre-eminent role in developing the theory of quasiconformal mappings, through his own research and writings and lec- tures, and through his supervision of graduate students. The volume begins with descriptions of Gehring's mathematical career and an overview of his research achievements.
Contents
F.W. Gehring: A Biographical Sketch.- The Mathematics of F.W. Gehring.- Publications of F.W. Gehring.- Ph.D. Students of F.W. Gehring.- Fred Gehring and Finnish Mathematics.- Planar Quasiconformal Mappings;Deformations and Interactions.- Local Minimality Results Related to the Bloch and Landau Constants.- The Apollonian Metric of a Domain in
$$
{\mathbb{R}^n}
$$.- Conjugacy Invariants of Möbius Groups.- Extremal Quasiconformal Mappings in Plane Domains.- On the Asymptotic Behavior of Quasiconformal Mappings in Space.- The Gehring Lemma.- Old and New on the Quasihyperbolic Metric.- Kleinian Groups; Eichler Cohomology and the Complex Theory.- On the Geometry of Kleinian Groups.- Old and New on the Schwarzian Derivative.- The Gehring-Hayman Inequality in Conformal Mapping.- Extremal Extensions from the Circle to the Disk.- Construction of Quasiregular Mappings.- Mappings and Spaces.- Questions on Quasiconformal Maps in Space.- List of Contributors.
