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Surveys in Geometry I

Athanase Papadopoulos (Hrsg.)

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Geometrie

Beschreibung

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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Kundenbewertungen

Schlagwörter

Metric Geometry, Convexity, Differential Geometry, Group Actions, Mapping Class Groups