Lars Ahlfors’ Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of , was first published in and. Lectures on Quasiconformal Mappings. Front Cover. Lars Valerian Ahlfors. Van Nostrand, – Conformal mapping – pages. Lectures on quasiconformal mappings / by Lars V. Ahlfors ; manuscript prepared with the assistance of Clifford J. Earle, Jr Ahlfors, Lars Valerian,
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Lectures on Quasiconformal Mappings: Second Edition
Lectures on Quasiconformal Mappings – Lars Valerian Ahlfors – Google Books
These lectures develop the theory of quasiconformal mappings from scratch, give a self-contained treatment of the Beltrami equation, and cover the basic properties of Teichmuller spaces, including the Bers embedding and the Teichmuller curve. It is remarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites.
Many graduate students and other mathematicians have learned the foundations of the theories lcetures quasiconformal mappings and Teichmuller spaces from these lecture notes. This edition includes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmuller spaces and provides many references to the vast literature on Teichmuller spaces and quasiconformal mappings.
The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics.
The third, by Hubbard, illustrates the role of these mappings in Thurston’s theory of hyperbolic structures on 3-manifolds. Together, these three new chapters exhibit the continuing ahlrors and importance of the theory of quasiconformal mappings.
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Table quasiconfotmal contents The Ahlfors Lectures: Acknowledgments Differentiable quasiconformal mappings The general definition Extremal geometric properties Boundary correspondence The mapping theorem Teichmuller spaces Editors’ notes The Additional Chapters: A supplement to Ahlfors’s lectures Complex dynamics and quasiconformal mappings Hyperbolic structures on three-manifolds that fiber over the circle.
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