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Lagrangian Foliations on compact Kähler manifolds

Fabio Podestà

math.DGarXiv:2609.01142

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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