Recent Developments on the Ricci Flow

1998/11/20 by Huai-Dong Cao, Bennett Chow, Cao, Huai-Dong +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Geometric Analysis and Curvature Flows #math.DG #math.GT #msc:35K55 #msc:53C21 #msc:58G11

paper · pdf · doi:10.48550/arxiv.math/9811123

Research report, 22 pages, LaTeX

arxiv created 1998/11/20 · arxiv updated 2009/11/30

Abstract

This article reports recent developments of the research on Hamilton's Ricci flow and its applications.

Citations

• On the parabolic kernel of the Schrödinger operator
• Harmonic Mappings of Riemannian Manifolds
• The Geometries of 3-Manifolds
• Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature

Related

• Recent developments in Ricci flows
• An Illustrated Introduction to the Ricci Flow
• Ricci Flow and the Poincare Conjecture
• A Modified Kähler-Ricci Flow
• An ancient Ricci flow emerging from Taub-Bolt