Structure of K\"ahler foliations with negative transverse Ricci curvature
Dynamical Systems
2025-06-03 v2 Complex Variables
Differential Geometry
Abstract
We investigate the structure of transversely K\"ahler foliations with quasi-negative tranverse Ricci curvature. In particular, we prove a de Rham type theorem decomposition on the leaf space where we characterize each factor.
Keywords
Cite
@article{arxiv.2301.06473,
title = {Structure of K\"ahler foliations with negative transverse Ricci curvature},
author = {Benoît Claudon and Frédéric Touzet},
journal= {arXiv preprint arXiv:2301.06473},
year = {2025}
}
Comments
52 pages. Compared to v1, exposition improved and some remarks and questions have been added. Comments are more than welcome!