Symmetric tautness tensor on Riemannian foliations
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918521022185472 |
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| author | Moon, Jungwoo |
| author_facet | Moon, Jungwoo |
| contents | We study tautness properties of a Riemannian foliation by investigating a symmetric 2-tensor associated with the mean curvature of the foliation. As a consequence, we prove a tautness condition for Riemannian foliations on compact manifolds via the symmetric tautness tensor. Moreover, several applications of the aforementioned tensor are provided under various geometric conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25408 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symmetric tautness tensor on Riemannian foliations Moon, Jungwoo Differential Geometry 53C12, 53C24, 53C25 We study tautness properties of a Riemannian foliation by investigating a symmetric 2-tensor associated with the mean curvature of the foliation. As a consequence, we prove a tautness condition for Riemannian foliations on compact manifolds via the symmetric tautness tensor. Moreover, several applications of the aforementioned tensor are provided under various geometric conditions. |
| title | Symmetric tautness tensor on Riemannian foliations |
| topic | Differential Geometry 53C12, 53C24, 53C25 |
| url | https://arxiv.org/abs/2605.25408 |