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Surveys in Geometry I
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Surveys in Geometry I/ edited by Athanase Papadopoulos.
其他作者:
Papadopoulos, Athanase.
面頁冊數:
XI, 467 p. 110 illus., 46 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Convex and Discrete Geometry. -
電子資源:
https://doi.org/10.1007/978-3-030-86695-2
ISBN:
9783030866952
Surveys in Geometry I
Surveys in Geometry I
[electronic resource] /edited by Athanase Papadopoulos. - 1st ed. 2022. - XI, 467 p. 110 illus., 46 illus. in color.online resource.
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.
ISBN: 9783030866952
Standard No.: 10.1007/978-3-030-86695-2doiSubjects--Topical Terms:
672138
Convex and Discrete Geometry.
LC Class. No.: QA440-699
Dewey Class. No.: 516
Surveys in Geometry I
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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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