Lorentzian manifolds are the most important pseudo - Riemannian manifolds after the Riemannian ones . This is due in part to the use of Lorentzian manifolds in physics . Indeed , 4 - dimensional Lorentzian geometry is the setting of ...
The quantization theories can lead to new invariants of hyperbolic 3-manifolds. The purpose of this handbook is to give a panorama of some of the most important aspects of Teichmuller theory.
The subject of this handbook is Teichmuller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces.
The various volumes in this collection are written by experts who have a broad view on the subject. In general, the chapters are expository, while some of them contain new and important results.
This volume is the fifth in a series dedicated to Teichmuller theory in a broad sense, including the study of various deformation spaces and of mapping class group actions.
The subject of this handbook is Teichmüller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces.
The handbook is addressed to researchers as well as graduate students. The present volume is divided into five parts: Part A: The metric and the analytic theory. Part B: Representation theory and generalized structures. Part C: Dynamics.