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arXiv · 2507.12594

Some comparison results for one extension of the Bakry-\'Emery-Ricci tensor

Andrea M. Mota·Cristiano S. Silva·Juliana F. R. Miranda
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Abstract

We consider generalizations of the drifted Laplacian and the Bakry-\'Emery-Ricci tensor, and we prove a version of the mean curvature comparison theorem. Consequently, we prove a Myers-type theorem and a generalization of the Cheeger-Gromoll splitting theorem.

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Andrea M. Mota, Cristiano S. Silva, Juliana F. R. Miranda. 2025-07-16. Some comparison results for one extension of the Bakry-\'Emery-Ricci tensor. https://arxiv.org/abs/2507.12594

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