Abstract
Let S be a smooth 3-dimensional nonpositively curved Riemannian manifold with corners, whose boundary consists of a finite number of geodesically convex nonpositively curved faces (for example, a Euclidean or hyperbolic polyhedron). We show that it is always possible to glue together finitely many copies of S so as to get a nonpositively curved pseudomanifold without boundary.
Original language | English (US) |
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Pages (from-to) | 1493-1498 |
Number of pages | 6 |
Journal | Proceedings of the American Mathematical Society |
Volume | 129 |
Issue number | 5 |
DOIs | |
State | Published - 2001 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics