Diameter estimates for submanifolds in manifolds with nonnegative curvature

DOI10.1016/j.difgeo.2023.102048zbMath1521.53044arXiv2307.04983OpenAlexW4385128127MaRDI QIDQ6175786

Jia-Yong Wu

Publication date: 18 August 2023

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.04983

zbMATH Keywords

mean curvatureinstrinsic diameter

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Cites Work

• Diameter of an immersed surface with boundary
• Diameter control under Ricci flow
• Relating diameter and mean curvature for submanifolds of Euclidean space
• Existence of surfaces minimizing the Willmore functional
• Sharp upper diameter bounds for compact shrinking Ricci solitons
• Diameter estimate for closed manifolds with positive scalar curvature
• On the question of diameter bounds in Ricci flow
• Relating diameter and mean curvature for Riemannian submanifolds
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ
• A diameter bound for compact surfaces and the Plateau-Douglas problem
• Sobolev Inequalities in Manifolds with Nonnegative Curvature