Some comparison results for one extension of the Bakry-Émery-Ricci tensor
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911061152628736 |
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| author | Mota, Andrea M. Silva, Cristiano S. Miranda, Juliana F. R. |
| author_facet | Mota, Andrea M. Silva, Cristiano S. Miranda, Juliana F. R. |
| contents | We consider generalizations of the drifted Laplacian and the Bakry-Émery-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12594 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some comparison results for one extension of the Bakry-Émery-Ricci tensor Mota, Andrea M. Silva, Cristiano S. Miranda, Juliana F. R. Differential Geometry Spectral Theory We consider generalizations of the drifted Laplacian and the Bakry-Émery-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. |
| title | Some comparison results for one extension of the Bakry-Émery-Ricci tensor |
| topic | Differential Geometry Spectral Theory |
| url | https://arxiv.org/abs/2507.12594 |