### 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) |
---|---|

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

- Mathematics(all)
- Applied Mathematics

## Fingerprint Dive into the research topics of 'Gluing copies of a 3-dimensional polyhedron to obtain a closed nonpositively curved pseud omanifold'. Together they form a unique fingerprint.

## Cite this

Burago, D., Ferleger, S., Kleiner, B., & Kononenko, A. (2001). Gluing copies of a 3-dimensional polyhedron to obtain a closed nonpositively curved pseud omanifold.

*Proceedings of the American Mathematical Society*,*129*(5), 1493-1498. https://doi.org/10.1090/s0002-9939-01-05554-x