Papadopoulos A. (ed.) Surveys in Geometry I

Cham: Springer, 2022. — 469 p.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.