The logarithmic Sobolev inequality for a submanifold in manifolds with nonnegative sectional curvature

DOI10.1007/s11401-024-0024-6zbMATH Open1545.53032MaRDI QIDQ6564187

Yu Zheng, Chengyang Yi

Publication date: 28 June 2024

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

logarithmic Sobolev inequalitysubmanifoldsnonnegative sectional curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantitative logarithmic Sobolev inequalities and stability estimates
• Ricci curvature, geodesics and some geometric properties of Riemannian manifolds with boundary
• Logarithmic Sobolev inequality for symmetric forms
• Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature
• Logarithmic Sobolev Inequalities
• Nondivergent elliptic equations on manifolds with nonnegative curvature
• The isoperimetric inequality for a minimal submanifold in Euclidean space
• The Logarithmic Sobolev Inequality for a Submanifold in Euclidean Space
• Minimal Submanifolds and Related Topics
• On a theorem of Fenchel-Borsuk-Willmore-Chern-Lashof

Related Items (1)

A logarithmic Sobolev inequality for closed submanifolds with constant length of mean curvature vector

This page was built for publication: The logarithmic Sobolev inequality for a submanifold in manifolds with nonnegative sectional curvature