03309nam a22004575i 4500 978-3-031-43510-2 DE-He213 20251030112059.0 cr nn 008mamaa 240527s2024 sz | s |||| 0|eng d 9783031435102 978-3-031-43510-2 10.1007/978-3-031-43510-2 doi QA440-699 PBM bicssc MAT012000 bisacsh PBM thema Surveys in Geometry II [electronic resource] / edited by Athanase Papadopoulos. 1st ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. X, 393 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 1 Athanase Papadopoulos: Introduction -- 2 Norbert A'Campo and Athanase Papadopoulos, Geometry of surfaces -- 3 Ken’ichi Ohshika: Teichmuller spaces and their various metrics -- 4 Marc Troyanov: Double forms, curvature integrals and the Gauss-Bonnet formula -- 5 Graham Smith, Quaternions, Monge–Amp˜A¨re structures and κ-surfaces -- 6 Peter Kristel and Eric Schippers, Lagrangian Grassmannians of polarizations -- 7 Arpad Kurusa, Metric characterizations of projective-metric spaces -- 8 Arpad Kurusa, Supplement to “Metric Characterization of Projective-metric Spaces” -- 9 Boumediene Et-Taoui, Metric problems in projective and Grassmann spaces -- 10 Valeriı Berestovskiı and Yuriı Nikonorov, On the geometry of finite homogeneous subsets of Euclidean spaces -- 11 Gue-Seon Lee and Ludovic Marquis, Discrete Coxeter groups -- 12 Bruno Luiz Santos Correia and Marc Troyanov, Isoperimetry inFinitely Generated Groups. The book is the second volume of a collection which consists of surveys that focus on important topics in geometry which are at the heart of current research. The topics in the present volume include the conformal and the metric geometry of surfaces, Teichmüller spaces, immersed surfaces of prescribed extrinsic curvature in 3-dimensional manifolds, symplectic geometry, the metric theory of Grassmann spaces, homogeneous metric spaces, polytopes, the higher-dimensional Gauss–Bonnet formula, isoperimetry in finitely generated groups and Coxeter groups. Each chapter is intended for graduate students and researchers. 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 important topics in geometry. Geometry. 68763 Geometry. 68763 Papadopoulos, Athanase. editor. edt http://id.loc.gov/vocabulary/relators/edt 73275 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031435096 Printed edition: 9783031435119 https://doi.org/10.1007/978-3-031-43510-2 ZDB-2-SMA ZDB-2-SXMS 60142 60142