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

D. Burago; S. Ferleger; B. Kleiner; A. Kononenko

doi:10.1090/s0002-9939-01-05554-x

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

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

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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	https://doi.org/10.1090/s0002-9939-01-05554-x
State	Published - 2001

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/s0002-9939-01-05554-x

Cite this

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title = "Gluing copies of a 3-dimensional polyhedron to obtain a closed nonpositively curved pseud omanifold",

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.",

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AU - Burago, D.

AU - Ferleger, S.

AU - Kleiner, B.

AU - Kononenko, A.

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/23044527782

UR - https://www.scopus.com/pages/publications/23044527782#tab=citedBy

U2 - 10.1090/s0002-9939-01-05554-x

DO - 10.1090/s0002-9939-01-05554-x

M3 - Article

AN - SCOPUS:23044527782

SN - 0002-9939

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EP - 1498

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 5

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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