Rigidity of manifolds with boundary under a lower Bakry-Émery Ricci curvature bound

DOI10.2748/tmj/1552100443zbMath1422.53029arXiv1506.03223OpenAlexW2921863044MaRDI QIDQ2418802

Yohei Sakurai

Publication date: 29 May 2019

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03223

zbMATH Keywords

comparison theoremmanifold with boundarysplitting theoremmetric measure spacerigidity theoremBakry-Émery curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

Bakry–Émery Ricci curvature, X-minimal hypersurfaces, and near horizon geometries ⋮ Gradient estimates for a nonlinear parabolic equation with Dirichlet boundary condition ⋮ Positive solutions of the \(p\)-Laplacian with potential terms on weighted Riemannian manifolds with linear diameter growth ⋮ Comparison geometry of manifolds with boundary under lower \(N\)-weighted Ricci curvature bounds with \(\varepsilon \)-range ⋮ Rigidity phenomena in manifolds with boundary under a lower weighted Ricci curvature bound ⋮ Inscribed radius bounds for lower Ricci bounded metric measure spaces with mean convex boundary ⋮ Gradient estimates for weighted harmonic function with Dirichlet boundary condition ⋮ Comparison Geometry of Manifolds with Boundary under a Lower Weighted Ricci Curvature Bound ⋮ First Robin eigenvalue of the \(p\)-Laplacian on Riemannian manifolds ⋮ Sharp gradient estimates on weighted manifolds with compact boundary ⋮ Triviality of bounded solutions and gradient estimates for nonlinear \(f\)-heat equations on complete smooth metric measure spaces