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Smoothing 3-dimensional polyhedral spaces
| 1. | Steklov Institute, St. Petersburg, Russian Federation |
| 2. | Institut für Mathematik, Friedrich-Schiller-Universität Jena, Germany |
| 3. | Mathematics Department, Pennsylvania State University, United States |
| 4. | National Research University, Higher School of Economics, Moscow, Russian Federation |
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References:
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M. Simon, Ricci flow of non-collapsed three manifolds whose Ricci curvature is bounded from below, J. Reine Angew. Math., 662 (2012), 59-94.
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W. Spindeler, $S^1$-Actions on 4-Manifolds and Fixed Point Homogeneous Manifolds of Nonnegative Curvature, Ph.D. Thesis, 2014. |
show all references
References:
| [1] |
C. Böhm and B. Wilking, Manifolds with positive curvature operators are space forms, Ann. of Math. (2), 167 (2008), 1079-1097.
doi: 10.4007/annals.2008.167.1079. |
| [2] |
B.-L. Chen, G. Xu and Z. Zhang, Local pinching estimates in 3-dim Ricci flow, Math. Res. Lett., 20 (2013), 845-855.
doi: 10.4310/MRL.2013.v20.n5.a3. |
| [3] |
R. S. Hamilton, A compactness property for solutions of the Ricci flow, Amer. J. Math., 117 (1995), 545-572.
doi: 10.2307/2375080. |
| [4] |
V. Kapovitch, Regularity of limits of noncollapsing sequences of manifolds, Geom. Funct. Anal., 12 (2002), 121-137.
doi: 10.1007/s00039-002-8240-1. |
| [5] |
A. Petrunin, Polyhedral approximations of Riemannian manifolds, Turkish J. Math., 27 (2003), 173-187. |
| [6] |
T. Richard, Lower bounds on Ricci flow invariant curvatures and geometric applications, J. Reine Angew. Math., 703 (2015), 27-41.
doi: 10.1515/crelle-2013-0042. |
| [7] |
M. Simon, Ricci flow of almost non-negatively curved three manifolds, J. Reine Angew. Math., 630 (2009), 177-217.
doi: 10.1515/CRELLE.2009.038. |
| [8] |
M. Simon, Ricci flow of non-collapsed three manifolds whose Ricci curvature is bounded from below, J. Reine Angew. Math., 662 (2012), 59-94.
doi: 10.1515/CRELLE.2011.088. |
| [9] |
W. Spindeler, $S^1$-Actions on 4-Manifolds and Fixed Point Homogeneous Manifolds of Nonnegative Curvature, Ph.D. Thesis, 2014. |
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