An Invitation to Alexandrov Geometry
Stephanie Alexander, Anton Petrunin, Vitali Kapovitch, et al.
Springer International Publishing 
Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Beschreibung
Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard–Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.
Kundenbewertungen
Space of directions and tangent space, Reshetnyak’s puff pastry, Gluing theorem and billiards, Exotic aspherical manifolds, Geodesics, Gromov–Hausdorff convergence, Sets with smooth boundary, Model angles and triangles., Two-convex hull, Cubical complexes, 4-point condition, Polyhedral spaces, Riemannian geometry, metric spaces, ASPHERICITY, Shefel’s theorem, Reshetnyak’s gluing theorem, Alexandrov geometry