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arXiv:1701.03483 [math.DG]AbstractReferencesReviewsResources

Invitation to Alexandrov geometry: CAT[0] spaces

Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

Published 2017-01-12Version 1

The idea is to demonstrate the beauty and power of Alexandrov geometry by reaching interesting applications with a minimum of preparation. The applications include 1. Estimates on the number of collisions in billiards. 2. Construction of exotic aspherical manifolds. 3. The geometry of two-convex sets in Euclidean space.

Comments: 96 pages, 31 figures
Categories: math.DG, math.AT, math.MG
Subjects: 53-01, 53C23, 53C45
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