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Surveys in Geometry I (Paperback, 1st ed. 2022)
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Surveys in Geometry I (Paperback, 1st ed. 2022)
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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, Teichmuller 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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