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Gluing copies of a 3-dimensional polyhedron to obtain a closed nonpositively curved pseudomanifold
Author(s):
D.
Burago;
S.
Ferleger;
B.
Kleiner;
A.
Kononenko
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1493-1498.
MSC (2000):
Primary 51K10, 53C20;
Secondary 52B10
Posted:
January 8, 2001
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Abstract:
Let  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  so as to get a nonpositively curved pseudomanifold without boundary.
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Additional Information:
D.
Burago
Affiliation:
Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802
Email:
burago@math.psu.edu
S.
Ferleger
Affiliation:
Renaissance Technology Corporation, 600 Rt. 25-A, East Setanket, New York 11787
B.
Kleiner
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, Utah 84112-0090
Email:
bkleiner@math.utah.edu
A.
Kononenko
Affiliation:
Renaissance Technology Corporation, 600 Rt. 25-A, East Setanket, New York 11787
Email:
kononena@yahoo.com
DOI:
10.1090/S0002-9939-01-05554-X
PII:
S 0002-9939(01)05554-X
Received by editor(s):
August 31, 1998
Posted:
January 8, 2001
Additional Notes:
The first author was partially supported by a Sloan Foundation Fellowship and NSF grant DMS-9803129. The second author was partially supported by a Sloan Dissertation Fellowship. The third author was supported by a Sloan Foundation Fellowship, and NSF grants DMS-95-05175, DMS-96-26911. The fourth author was supported by NSF grant DMS-9803092
Communicated by:
Christopher Croke
Copyright of article:
Copyright
2001,
American Mathematical Society
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