Volume Growth of Complete Submanifolds in Gradient Ricci Solitons with Bounded Weighted Mean Curvature

DOI10.1093/IMRN/RNZ355zbMath1489.53080arXiv1909.05724OpenAlexW2995521603WikidataQ126668524 ScholiaQ126668524MaRDI QIDQ5028254

Detang Zhou, Matheus Vieira, Xu Cheng

Publication date: 8 February 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.05724

zbMATH Keywords

volume growthweighted mean curvaturegradient Ricci solitonshrinking Ricci solitonproperly immersedcomplete noncompact submanifoldsweighted volume element

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Ricci flows (53E20)

Related Items (4)

Volume properties and rigidity on self-expanders of mean curvature flow ⋮ Rigidity of complete self-shrinkers whose tangent planes omit a nonempty set ⋮ Some rigidity properties for \(\lambda\)-self-expanders ⋮ Minimal submanifolds in a metric measure space

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