Symmetric tautness tensor on Riemannian foliations
Differential Geometry
2026-05-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2605.25408,
title = {Symmetric tautness tensor on Riemannian foliations},
author = {Jungwoo Moon},
journal= {arXiv preprint arXiv:2605.25408},
year = {2026}
}
Comments
17 pages