The Lie algebroid associated with a hypersurface

2017/02/11 by Anthony D. Blaom, Blaom, Anthony D.
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1702.03452

openalex publication_date 2017/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we motivate the definition and use of Lie algebroids by revisiting the problem of reconstructing a hypersurface in Euclidean space from infinitesimal data.

Citations

• Lectures on Integrability of Lie Brackets
• Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies

Related

• The generalized Lie algebroids and their applications
• Notes on relative algebroids
• Invariants of Lie algebroids
• Riemannian Geometry of Lie Algebroids
• Lie algebroids. Lie-Rinehart algebras