Boundary effect of \(m\)-dimensional Bakry-Émery Ricci curvature

DOI10.1007/S13324-018-0237-5zbMath1429.53056OpenAlexW2807591759MaRDI QIDQ2009450

Guangyue Huang, Qiang Tu

Publication date: 28 November 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-018-0237-5

zbMATH Keywords

boundary effect\(f\)-mean curvature\(m\)-dimensional Bakry-Émery Ricci curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Some geometric inequalities on Riemannian manifolds associated with the generalized modified Ricci curvature ⋮ Unnamed Item ⋮ Gradient estimates for a nonlinear parabolic equation on complete smooth metric measure spaces ⋮ Estimates for the first eigenvalues of bi-drifted Laplacian on smooth metric measure space

Cites Work

• Unnamed Item
• Unnamed Item
• Boundary effect of Ricci curvature
• Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians
• Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
• \(f\)-minimal surface and manifold with positive \(m\)-Bakry-Émery Ricci curvature
• Applications of some elliptic equations in Riemannian manifolds
• \(r\)-minimal submanifolds in space forms
• Gradient estimates and entropy formulae of porous medium and fast diffusion equations for the Witten Laplacian
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• Lower bound estimates for the first eigenvalue of the weighted \(p\)-Laplacian on smooth metric measure spaces

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