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Singular Riemannian foliations and their quadratic basic polynomials
- Publication Year :
- 2016
-
Abstract
- We present a new link between the Invariant Theory of infinitesimal singular Riemannian foliations and Jordan algebras. This, together with an inhomogeneous version of Weyl's First Fundamental Theorems, provides a characterization of the recently discovered Clifford foliations in terms of basic polynomials. This link also yields new structural results about infinitesimal foliations, such as the existence of non-trivial symmetries.
- Subjects :
- Mathematics - Differential Geometry
Mathematics - Commutative Algebra
53C12, 13A50
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1611.02067
- Document Type :
- Working Paper