Long-time behavior of 3-dimensional Ricci flow. B: Evolution of the minimal area of simplicial complexes under Ricci flow

DOI10.2140/gt.2018.22.845zbMath1388.53059arXiv1411.6649OpenAlexW3100879907MaRDI QIDQ680297

Richard H. Bamler

Publication date: 23 January 2018

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6649

zbMATH Keywords

Ricci flowminimal surfacesboundary regularityminimal simplicial complexesminimal surfaces with junctions

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05)

Related Items

Developments in 3D Ricci flow since Perelman ⋮ Diffeomorphism groups of prime 3-manifolds ⋮ Ricci flow on a class of noncompact warped product manifolds ⋮ Appearance of stable minimal spheres along the Ricci flow in positive scalar curvature

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple integrals in the calculus of variations
• On the existence and regularity of fundamental domains with least boundary area
• Topology of three dimensional manifolds and the embedding problems in minimal surface theory
• The existence of minimal immersions of 2-spheres
• Non-singular solutions of the Ricci flow on three-manifolds
• Über das Randverhalten quasilinearer elliptischer Systeme mit isothermen Parametern
• Regularity of minimizing surfaces of prescribed mean curvature
• The problem of Plateau on a Riemannian manifold
• SINGULAR CURVES AND THE PLATEAU PROBLEM
• Some remarks on minimal surfaces in riemannian manifolds

This page was built for publication: Long-time behavior of 3-dimensional Ricci flow. B: Evolution of the minimal area of simplicial complexes under Ricci flow