Surveys in Geometry I

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  • Surveys in Geometry I Book Detail

  • Author : Athanase Papadopoulos
  • Release Date : 2022-02-18
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 469
  • ISBN 13 : 3030866955
  • File Size : 21,21 MB

Surveys in Geometry I by Athanase Papadopoulos PDF Summary

Book Description: 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.

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