Smoothing 3-dimensional polyhedral spaces

DOI10.3934/era.2015.22.12zbMath1346.53040arXiv1411.0307OpenAlexW306736014MaRDI QIDQ256348

Anton Petrunin, Vladimir S. Matveev, Nina Lebedeva, Vsevolod V. Shevchishin

Publication date: 9 March 2016

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0307

zbMATH Keywords

smoothingRicci flownonnegative curvaturepolyhedral space

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Polyhedral manifolds (52B70) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (3)

Stable geodesic nets in convex hypersurfaces ⋮ Metric Curvatures Revisited: A Brief Overview ⋮ Ricci flow from spaces with isolated conical singularities

Cites Work

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• Regularity of limits of noncollapsing sequences of manifolds
• Manifolds with positive curvature operators are space forms
• Local pinching estimates in 3-dim Ricci flow
• Lower bounds on Ricci flow invariant curvatures and geometric applications
• Ricci flow of non-collapsed three manifolds whose Ricci curvature is bounded from below
• $\mathsf S^1$-actions on $4$-manifolds and fixed point homogeneous manifolds of nonnegative curvature
• Ricci flow of almost non-negatively curved three manifolds
• A Compactness Property for Solutions of the Ricci Flow

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