Local characterization of polyhedral spaces

Abstract

We show that a compact length space is polyhedral if a small spherical neighborhood of any point is conic.

7 pages 1 figure

References in corpus (1)

• Alexandrov spaces with maximal number of extremal points

Cited by in corpus (2)

• Polyhedral approximation of metric surfaces and applications to uniformization
• Polyhedral Kähler cone metrics on ${\mathbb{C}}^n$ singular at hyperplane arrangements