Some comparison results for one extension of the Bakry-Émery-Ricci tensor

Published 16 Jul 2025 in math.DG and math.SP | (2507.12594v1)

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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