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Shulph Ink

Surveys in Geometry I

Surveys in Geometry I

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A volume of surveys on geometry in a non-technical and appealing manner, including spherical geometry, finite-dimensional normed spaces, metric geometry, convexity theory, 4-dimensional topology, Teichmüller spaces, mapping class groups actions, translation surfaces, and complex higher-dimensional geometry. Several chapters are based on lectures given by the authors to middle-advanced level students and young researchers.

Format: Paperback / softback
Length: 467 pages
Publication date: 19 February 2022
Publisher: Springer Nature Switzerland AG


The book is a comprehensive collection of surveys on geometry, encompassing a wide range of topics. Its primary objective is to present a diverse array of research topics in a non-technical and captivating manner, making them accessible to a broader audience.

The topics covered in this volume are diverse and intriguing. They include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (including Bishop–Gromov type inequalities in Gromov-hyperbolic spaces), convexity theory and inequalities involving volumes and mixed volumes of convex bodies, 4-dimensional topology, Teichmüller spaces and mapping class group actions, translation surfaces and their dynamics, and complex higher-dimensional geometry.

Several chapters in the book are based on lectures delivered by the authors to middle-advanced level students and young researchers. These chapters provide an excellent introduction to the subject matter, presenting the key concepts and developments in a clear and concise manner.

The book as a whole serves as an excellent introduction to current research trends in geometry. It provides a valuable resource for both students and researchers interested in exploring the latest developments in this field. Whether you are a beginner or an experienced researcher, this book will undoubtedly provide you with valuable insights and inspiration.

Weight: 730g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030866945
Edition number: 1st ed. 2022

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