On Extensions of Myers' Theorem
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Publication:4863939
DOI10.1112/blms/27.4.392zbMath0835.60056arXiv1911.07325OpenAlexW2037826161WikidataQ125744164 ScholiaQ125744164MaRDI QIDQ4863939
Publication date: 20 February 1996
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.07325
Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons ⋮ Myers' type theorem with the Bakry-Émery Ricci tensor ⋮ First order Feynman-Kac formula ⋮ Riesz transforms for symmetric diffusion operators on complete Riemannian manifolds ⋮ Cheng's maximal diameter theorem for hypergraphs ⋮ Complete gradient shrinking Ricci solitons have finite topological type ⋮ A probabilistic approach to the maximal diameter theorem ⋮ \(f\)-minimal surface and manifold with positive \(m\)-Bakry-Émery Ricci curvature ⋮ ON THE COMPACTNESS OF MANIFOLDS ⋮ A Poincaré inequality on loop spaces ⋮ Myers' type theorem for integral Bakry-Émery Ricci tensor bounds ⋮ Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature ⋮ Intertwining relations for diffusions in manifolds and applications to functional inequalities ⋮ A note on nonnegative Bakry-Émery Ricci curvature ⋮ Extensions of Bonnet-Myers-type theorems with the Bakry-Emery Ricci curvature
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