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Infinitesimally rigid Lie foliations with dense leaves

Year: 2026

Type: article

Abstract: We call a foliation on a compact manifold infinitesimally rigid if its deformation cohomology vanishes. This paper studies infinitesimal rigidity for a distinguished class of Riemannian foliations, namely Lie foliations with dense leaves. We construct infinitesimally rigid Lie foliations with dense leaves, modeled on any compact semisimple Lie algebra with simple ideals different from . To our knowledge, these are the first examples of infinitesimally rigid Riemannian foliations that are not Hausdorff.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70617

Authors: Stephane Geudens, Florian Zeiser

Institutions: Institute of Mathematics, Polish Academy of Sciences, Institute for Basic Science

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Institute for Basic Science, University of Illinois at Urbana-Champaign

OpenAlex ID: W7166728384

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Cites: 31

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