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Geometric angle structures on triangulated surfaces
Author(s):
Ren
Guo
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3005-3011.
MSC (2000):
Primary 57M50;
Secondary 90C05
Posted:
March 30, 2007
MathSciNet review:
2317979
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Abstract:
In this paper we characterize the edge invariant and Delaunay invariant of a spherical angle structure on a triangulated surface. We also characterize the edge invariant of a hyperbolic angle structure on a triangulated surface.
References:
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- 2.
- Bernard Kolman and Robert Beck, Elementary Linear Programming with Applications. Academic Press, 2nd edition, 1995 MR 1340426 (96f:90001)
- 3.
- Gregory Leibon, Characterizing the Delaunay decompositions of compact hyperbolic surfaces. Geom. Topol. 6(2002), 361-391 MR 1914573 (2003c:52034)
- 4.
- Feng Luo, A Characterization of spherical polyhedron surfaces. ArXiv: math.GT/0408112
- 5.
- Igor Rivin, Euclidean structures on simplicial surfaces and hyperbolic volume. Ann. of Math. (2) 139 (1994), no. 3, 553-580 MR 1283870 (96h:57010)
- 6.
- Igor Rivin, Combinational optimization in geometry. Advances in Applied Math. 31(2003), no. 1, 242-271 MR 1985831 (2004i:52005)
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Additional Information:
Ren
Guo
Affiliation:
Department of Mathematics, Rutgers University, Piscataway, New Jersey 08854
Email:
renguo@math.rutgers.edu
DOI:
10.1090/S0002-9939-07-08783-7
PII:
S 0002-9939(07)08783-7
Keywords:
Geometric angle structures,
linear programming.
Received by editor(s):
March 30, 2006
Received by editor(s) in revised form:
May 9, 2006
Posted:
March 30, 2007
Communicated by:
Alexander N. Dranishnikov
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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