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Lagrangian Foliations on compact Kähler manifolds
Abstract
We prove that a compact Kähler manifold carrying a regular Riemannian foliation whose leaves are Lagrangian and minimal is flat. In order to prove this result, we establish a foliated version of an integral formula due to Ros.
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BibTeX
@misc{podesta2026lagrangian,
title = {{Lagrangian Foliations on compact Kähler manifolds}},
author = {Fabio Podestà},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01142},
eprint = {2609.01142},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01142},
}
RIS
TY - UNPB
TI - Lagrangian Foliations on compact Kähler manifolds
AU - Fabio Podestà
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01142
UR - https://arxiv.org/abs/2609.01142
AB - We prove that a compact Kähler manifold carrying a regular Riemannian foliation whose leaves are Lagrangian and minimal is flat. In order to prove this result, we establish a foliated version of an integral formula due to Ros.
ER -