Submanifolds with parallel weighted mean curvature vector in the Gaussian space

DOI10.1007/S00013-022-01716-2zbMath1497.53109OpenAlexW4220902601MaRDI QIDQ2140608

Danilo F. da Silva, Henrique Fernandes de Lima, Eraldo A. jun. Lima

Publication date: 23 May 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01716-2

zbMATH Keywords

Bakry-Émery-Ricci tensorself-shrinkersdrift LaplacianGaussian spaceweighted mean curvature vector

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Flows related to mean curvature (53E10)

Related Items (3)

Uniqueness of hypersurfaces in weighted product spaces via maximum principles for the drift Laplacian ⋮ Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces ⋮ Spacelike submanifolds with parallel Gaussian mean curvature vector: rigidity and nonexistence

Cites Work

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• A Bernstein type theorem for self-similar shrinkers
• Gap and rigidity theorems of 𝜆-hypersurfaces
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