The heat equation shrinking convex plane curves

1986/01/01 by Michael E. Gage, M. Gage, Richard S. Hamilton +1 · 3 citations
Mathematics · #Convex body #Convex curve #Convex hull #Geometric Analysis and Curvature Flows #Geometry #Heat equation #Mathematical analysis #Mathematics #Mathematics and Applications #Plane (geometry) #Plane curve #Point processes and geometric inequalities #Regular polygon

paper · pdf · doi:10.4310/jdg/1214439902

crossref issued 1986/01/01 · crossref published 1986/01/01 · crossref published-print 1986/01/01 · openalex publication_date 1986/01/01 · crossref created 2017/03/16 · crossref deposited 2021/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31 · crossref indexed 2026/08/04

Abstract

Let M and M' be Riemannian manifolds and F: M - M' a smooth map

Citations

• An isoperimetric inequality with applications to curve shortening
• Flow by mean curvature of convex surfaces into spheres
• Three-manifolds with positive Ricci curvature
• The inverse function theorem of Nash and Moser

Cited by

• Lectures on Mean Curvature Flow and Related Equations
• Three snippets of curve evolution theory in computer vision
• Richard S. Hamilton [wikipedia]