Abstract
In this paper, we apply elliptic second-order differential operators to distance functions. As a result, we extend the mean curvature comparison theorem using lower bounds on the extended Ricci tensor. Then, we extend the Bishop–Gromov volume comparison theorem and some of its consequences on the topology of manifolds.
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A. Fatemi introduced the problem and all authors solved it. S. Azami and S. H. Fatemi wrote the main manuscript text and All authors reviewed the manuscript.
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Azami, S., Fanaï, H.R. & Fatemi, S.H. Extension of Bishop–Gromov Volume Comparison Theorem by Elliptic Operators. Mediterr. J. Math. 20, 286 (2023). https://doi.org/10.1007/s00009-023-02487-y
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DOI: https://doi.org/10.1007/s00009-023-02487-y