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020 _a9783031435102
_9978-3-031-43510-2
024 7 _a10.1007/978-3-031-43510-2
_2doi
050 4 _aQA440-699
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
072 7 _aPBM
_2thema
245 1 0 _aSurveys in Geometry II
_h[electronic resource] /
_cedited by Athanase Papadopoulos.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aX, 393 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _a1 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.
520 _aThe 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.
650 0 _aGeometry.
_968763
650 1 4 _aGeometry.
_968763
700 1 _aPapadopoulos, Athanase.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_973275
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031435096
776 0 8 _iPrinted edition:
_z9783031435119
856 4 0 _uhttps://doi.org/10.1007/978-3-031-43510-2
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c60142
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