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220303 ||| eng |
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|a 9783030866952
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100 |
1 |
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|a Papadopoulos, Athanase
|e [editor]
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245 |
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|a Surveys in Geometry I
|h Elektronische Ressource
|c edited by Athanase Papadopoulos
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250 |
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|a 1st ed. 2022
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260 |
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|a Cham
|b Springer International Publishing
|c 2022, 2022
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300 |
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|a XI, 467 p. 110 illus., 46 illus. in color
|b online resource
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505 |
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|a 1 Athanase Papadopoulos, Introduction -- 2 Marek Lassak, Spherical geometry - A survey on width and thickness of convex bodies -- 3 Vitor Balestro and Horst Martini, Minkowski geometry - some concepts and recent developments -- 4 Javier Alonso at al., Orthogonality types in normed linear spaces -- 5 Ivan Izmestiev, Mixed volumes and inequalities -- 6 Gérard Besson and Gilles Courtois, Compactness and finiteness results for Gromov-Hyperbolic spaces -- 7 Valentin Poénaru, All 4-dimensional smooth Schoenflies balls are geometrically simply-connected - A fast survey of the proof -- 8 Valentin Poénaru, Classical differential topology and non-commutative geometry -- 9 Daniel Massart, A short introduction to translation surfaces, Veech surfaces and Teichmüller dynamics -- 10 Ken'ichi Ohshika, Teichmüller spaces and the rigidity of mapping class action -- 11 Indranil Biswas and Sorin Dumitrescu, Holomorphic G-structures and foliated Cartan geometries on compact complex manifolds
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653 |
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|a Geometry, Differential
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653 |
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|a Convex geometry
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653 |
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|a Hyperbolic Geometry
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653 |
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|a Topology
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653 |
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|a Geometry, Hyperbolic
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653 |
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|a Geometry
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653 |
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|a Manifolds and Cell Complexes
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653 |
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|a Convex and Discrete Geometry
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653 |
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|a Manifolds (Mathematics)
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653 |
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|a Differential Geometry
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653 |
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|a Discrete geometry
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041 |
0 |
7 |
|a eng
|2 ISO 639-2
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989 |
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|b Springer
|a Springer eBooks 2005-
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856 |
4 |
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|u https://doi.org/10.1007/978-3-030-86695-2?nosfx=y
|x Verlag
|3 Volltext
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082 |
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|a 516
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520 |
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|a 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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