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• W3206843689 abstract "We prove a Bakry-'Emery generalization of a theorem of Petersen and Wilhelm, itself a generalization of a theorem of Frankel, that closed minimal hypersurfaces in a complete manifold with a suitable curvature bound must intersect. We then prove splitting theorems of Croke-Kleiner type for manifolds bounded by hypersurfaces obeying Bakry-'Emery curvature bounds. Motivated in part by the near-horizon geometry programme of general relativity, we do not assume that the Bakry-'Emery vector field is of gradient type." @default.
• W3206843689 created "2021-10-25" @default.
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• W3206843689 date "2021-10-13" @default.
• W3206843689 modified "2023-09-27" @default.
• W3206843689 title "Bakry-'Emery Ricci Curvature Bounds on Manifolds with Boundary" @default.
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