Format:
1 Online-Ressource (xi, 467 Seiten)
,
Illustrationen, Diagramme
ISBN:
9783030866952
Series Statement:
Springer eBook Collection
Content:
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.
Content:
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.
Additional Edition:
ISBN 9783030866945
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030866945
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030866969
Additional Edition:
Erscheint auch als Druck-Ausgabe Surveys in geometry ; 1 Cham, Switzerland : Springer Nature, 2022 ISBN 9783030866945
Language:
English
DOI:
10.1007/978-3-030-86695-2
Author information:
Papadopoulos, Athanase 1957-
