We enlarge the class of Beltrami equations by developping a stability theory for the sheaf of solutions of an overdetermined elliptic system of first order homogeneous partial differential equations with constant coefficients in the Euclidean space.

by Wong Chun-fai. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1994. / Includes bibliographical references (leaves 81-82). / Chapter CHAPTER0 --- Introduction --- p.1 / Chapter CHAPTER1 --- Teichmuller Space of genus g --- p.5 / Chapter 1.1. --- Teichmiiller Space of genus g / Chapter 1.2. --- Fuchsian Model and Discrete subgroup of Aut(H) / Chapter 1.3. --- Fricke Space / Chapter CHAPTER2 --- Hyperbolic Geometry and Fenchel-Nielsen Coordinates --- p.14 / Chapter 2.1. --- Poincare Metric and Hyperbolic Geometry / Chapter 2.2. --- Fenchel-Nielsen Coordinates / Chapter 2.3. --- Fricke-Klein Embedding / Chapter CHAPTER3 --- Quasiconformal Mappings --- p.23 / Chapter 3.1. --- Definitions / Chapter 3.2. --- Existence Theorems on Quasiconformal Mappings / Chapter 3.3. --- Dependence on Beltrami Coefficients / Chapter CHAPTER4 --- Teichmuller Spaces --- p.37 / Chapter 4.1. --- Analytic Construction of Teichmiiller Spaces / Chapter 4.2. --- Teichmiiller mapping and Teichmiiller Theorem / Chapter 4.3. --- Teichmiiller Uniqueness Theorem / Chapter CHAPTER5 --- Complex Analytic Theory of Teichmiiller Spaces --- p.50 / Chapter 5.1. --- Bers' Embedding and the complex structure of Teichmiiller Space / Chapter 5.2. --- Invariance of Complex Structure of Teichmiiller Space / Chapter 5.3. --- Teichmiiller Modular Groups / Chapter 5.4. --- Classification of Teichmiiller Modular Transformations / Chapter CHAPTER6 --- Weil-Petersson Metric --- p.68 / Chapter 6.1. --- Petersson Scalar Product and Reproducing formula / Chapter 6.2. --- Infinitesimal Theory of Teichmuller Spaces / Chapter 6.3. --- Weil-Petersson Metric / BIBLIOGRAPHY --- p.81