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＜電子ブック＞
Surveys in Geometry I / edited by Athanase Papadopoulos

版	1st ed. 2022.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2022
大きさ	XI, 467 p. 110 illus., 46 illus. in color : online resource
著者標目	Papadopoulos, Athanase editor SpringerLink (Online service)
件　名	LCSH:Geometry LCSH:Geometry, Differential LCSH:Geometry, Hyperbolic LCSH:Topology LCSH:Manifolds (Mathematics) LCSH:Convex geometry  LCSH:Discrete geometry FREE:Geometry FREE:Differential Geometry FREE:Hyperbolic Geometry FREE:Topology FREE:Manifolds and Cell Complexes FREE:Convex and Discrete Geometry
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-030-86695-2

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