A note on constant mean curvature foliations of noncompact Riemannian manifolds

DOI10.1155/2022/7350345zbMath1497.53059OpenAlexW4289667382WikidataQ115243452 ScholiaQ115243452MaRDI QIDQ2081884

Barbara Nelli, Marc Soret, Said Ilias

Publication date: 30 September 2022

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/7350345

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Local Riemannian geometry (53B20) Methods of local Riemannian geometry (53B21)

Cites Work

• On the entropies of hypersurfaces with bounded mean curvature
• Caccioppoli's inequalities on constant mean curvature hypersurfaces in Riemannian manifolds
• Differential inequalities on complete Riemannian manifolds and applications
• On the spectrum of non-compact manifolds with finite volume
• Foliations by hypersurfaces with constant mean curvature
• The structure of weakly stable constant mean curvature hypersurfaces
• Stability of complete noncompact surfaces with constant mean curvature
• A remark on minimal foliations
• Complete minimal surfaces with index one and stable constant mean curvature surfaces
• Some differential geometric properties of codimension-one foliations of polynomials growth.
• On constant mean curvature hypersurfaces with finite index
• Exponential Growth and the Spectrum of the Laplacian
• Differential equations on riemannian manifolds and their geometric applications
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• Stable constant mean curvature hypersurfaces
• The topology and geometry of embedded surfaces of constant mean curvature

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