An Invitation to Alexandrov Geometry

DOI10.1007/978-3-030-05312-3zbMath1433.53065arXiv1701.03483OpenAlexW4240192961MaRDI QIDQ4645083

Vitali Kapovitch, Anton Petrunin, Stephanie B. Alexander

Publication date: 9 January 2019

Published in: SpringerBriefs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03483

zbMATH Keywords

CAT(0) spacesAlexandrov geometryexotic aspherical manifoldsHadamard-Cartan globalization theoremnonsmooth saddle surfacesReshetnyak gluing theorem

Mathematics Subject Classification ID

Metric geometry (51F99) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Direct methods ((G)-spaces of Busemann, etc.) (53C70) Synthetic differential geometry (51K10) Comprehensive works on geometry education (97G10)

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