On the Moser trick for Lie subalgebras and foliations

Ilias Ermeidis

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arXiv · 2606.25848

On the Moser trick for Lie subalgebras and foliations

Ilias Ermeidis

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Abstract

Given a smooth deformation of a Lie subalgebra, we establish a necessary and sufficient condition for its smooth triviality and derive an analogous criterion for Lie ideals. We then give a direct proof of the Moser trick for foliations, which forms the basis for extending this result to general Lie subalgebroids.

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Ilias Ermeidis. 2026-06-24. On the Moser trick for Lie subalgebras and foliations. https://arxiv.org/abs/2606.25848

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