Gluing copies of a 3-dimensional polyhedron to obtain a closed nonpositively curved pseud omanifold

Dmitri Burago, S. Ferleger, B. Kleiner, A. Kononenko

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)1493-1498
Number of pages6
JournalProceedings of the American Mathematical Society
Volume129
Issue number5
StatePublished - Dec 1 2001

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Gluing
Glues
Polyhedron
Closed
Riemannian Manifold
Euclidean
Face

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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Gluing copies of a 3-dimensional polyhedron to obtain a closed nonpositively curved pseud omanifold. / Burago, Dmitri; Ferleger, S.; Kleiner, B.; Kononenko, A.

In: Proceedings of the American Mathematical Society, Vol. 129, No. 5, 01.12.2001, p. 1493-1498.

Research output: Contribution to journalArticle

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