Surveys in Geometry I

Papadopoulos, Athanase

The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner.

The topics surveyed include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (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 groups actions, translation surfaces and their dynamics, and complex higher-dimensional geometry.

Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers.

The whole book is intended to be an introduction to current research trends in geometry.

Details

Published by: Springer

Publication Date: 2022-02-19

Format: Paperback

ISBN-13: 9783030866945

DOI: 10.1007/978-3-030-86695-2

Dimensions: 235cm x155cm

Pages: 467