Synopsis
Explore the geometry of Riemann surfaces and their moduli with clear, rigorous insight. This book presents foundational ideas about representing closed Riemann surfaces as bounded domains and how conformal structures can be redefined through advanced mappings. Readers will follow how Schottky and Fuchsian perspectives connect to the broader theory of Teichmüller spaces, with a focus on concrete constructions and the relationships between different approaches.
Grounded in detailed proofs and carefully defined concepts, the text builds a precise framework for understanding how surfaces of various genera and punctures relate to complex manifolds, fundamental groups, and holomorphic mappings. It blends classical results with modern viewpoints, offering both algebraic and geometric viewpoints on surface classification and deformation theory.
- Learn how to model Riemann surfaces via Schottky groups and fundamental regions.
- See how Teichmüller theory connects to moduli spaces through concrete lemmas and inclusions.
- Explore how complex structures vary analytically with parameters and how this affects mappings.
- Understand the role of sharp inclusions and how they preserve fundamental groups across spaces.
Ideal for researchers and students of complex analysis, geometry, and topology seeking a rigorous, topic-focused treatment of spaces of Riemann surfaces.
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Spaces of Riemann Surfaces as Bounded Domains (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
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Paperback. Etat : New. Print on Demand. This book explores the mathematical concept of spaces of Riemann surfaces, which are mathematical objects akin to surfaces in ordinary three-dimensional space. It delves into the history and development of this field, tracing its origins back to Riemann's groundbreaking work in the 19th century. The author delves into the intricate relationship between Riemann surfaces and quasiconformal mappings, a type of map that preserves angles between curves. The text also examines complex manifolds, which are spaces with a rich geometric structure, and their relevance to understanding the spaces of Riemann surfaces. Through its exploration of these interconnected concepts, this book offers a comprehensive examination of a fundamental subject in mathematics, providing valuable insights for researchers and students alike. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781333037284_0
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Spaces of Riemann Surfaces as Bounded Domains Classic Reprint
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333037284
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Spaces of Riemann Surfaces as Bounded Domains Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333037284
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