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Keyword: Myers Type Theorem (1)	1 Apr 2025	Run
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articleNo Access
Boju–Funar type theorems via $m$ -Bakry–Émery and $m$ -modified Ricci curvatures
- Homare Tadano
International Journal of Mathematics01 Aug 2021
Preview Abstract
We establish some Boju–Funar type compactness criteria for complete Riemannian manifolds via $m$ -Bakry–Émery and $m$ -modified Ricci curvatures assuming that $m$ -Bakry–Émery and $m$ -modified Ricci curvatures tend slowly to zero as the distance from a fixed point goes to infinity. Our results are generalizations of Cheeger–Gromov–Taylor type compactness criteria for complete Riemannian manifolds via $m$ -Bakry–Émery and $m$ -modified Ricci curvatures established by Y. Soylu and the author.

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