Critical Points of the Weighted Area Functional

DOI10.1007/978-4-431-56021-0_4zbMath1347.53051OpenAlexW2519730240MaRDI QIDQ2819643

Qing-Ming Cheng

Publication date: 29 September 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-56021-0_4

zbMATH Keywords

self-shrinkers\(\mathcal{F}\)-stability\(\lambda\)-hypersurfacesweighted area functional

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Volume growth eigenvalue and compactness for self-shrinkers
• Generic mean curvature flow. I: Generic singularities
• Analysis of weighted Laplacian and applications to Ricci solitons
• On complete gradient shrinking Ricci solitons
• Flow by mean curvature of convex surfaces into spheres
• Asymptotic behavior for singularities of the mean curvature flow
• The normalized curve shortening flow and homothetic solutions
• The heat equation shrinks embedded plane curves to round points
• Lower volume growth estimates for self-shrinkers of mean curvature flow
• The volume preserving mean curvature flow.
• Volume estimate about shrinkers