Myers' theorem for complete Riemannian hypersurfaces

DOI10.4134/CKMS.c180168zbMath1426.53072OpenAlexW2975100795MaRDI QIDQ5241361

Seyed Hamed Fatemi

Publication date: 30 October 2019

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=DBSHCJ&py=2019&vnc=v34n3&sp=863

zbMATH Keywords

scalar curvaturemean curvaturehypersurfacesdivergence of shape operatorsecond-order mean curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Local submanifolds (53B25)

Cites Work

• Smooth metric measure spaces with non-negative curvature
• The Bakry-Emery Ricci tensor and its applications to some compactness theorems
• Compactness in weighted manifolds and applications
• Comparison geometry for the Bakry-Emery Ricci tensor
• Remark on a diameter bound for complete Riemannian manifolds with positive Bakry-Émery Ricci curvature
• Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature
• Myers' type theorem with the Bakry-Émery Ricci tensor
• A note on the splitting theorem for the weighted measure
• On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking solitons
• A theorem of Ambrose for Bakry-Emery Ricci tensor
• Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
• Riemannian manifolds with positive mean curvature
• Maximum Principles and Geometric Applications

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