The Lie algebroid associated with a hypersurface
Anthony D. Blaom
TL;DR
This paper explores how Lie algebroids can be used to reconstruct hypersurfaces in Euclidean space from infinitesimal geometric data, highlighting their theoretical significance.
Contribution
It introduces the application of Lie algebroids to hypersurface reconstruction, providing a new perspective on their geometric and algebraic structure.
Findings
Lie algebroids encode hypersurface infinitesimal data
Reconstruction of hypersurfaces can be achieved via Lie algebroid methods
The approach offers insights into the geometry of hypersurfaces
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic Geometry and Number Theory