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http://dx.doi.org/10.14403/jcms.2021.34.4.397

RIEMANNIAN AND LORENTZIAN VOLUME COMPARISONS WITH THE BAKRY-EMERY RICCI TENSOR  

Kim, Jong Ryul (Department of Mathematics Kunsan National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.34, no.4, 2021 , pp. 397-409 More about this Journal
Abstract
The Bishop and Bishop-Gromov volume comparisons with the Bakry-Emery Ricci tensor in a metric measure space are studied by the comparisons of the Jacobi differential equations in a Riemannian and Lorentzian manifold.
Keywords
Bakry-Emery Ricci tensor; mean curvature; volume comparison; Jacobi equation;
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