2014/12/02 by José Navarro, Navarro, J., J. B. Sancho +1 · 1 citation
Mathematics · Physics and Astronomy · #53C05 #58A32 #58Axx #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1412.0840
openalex publication_date 2014/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that the only natural operations between differential forms are those obtained using linear combinations, the exterior product and the exterior differential. Our result generalises work by Palais and Freed-Hopkins. As an application, we also deduce a theorem, originally due to Kolar, that determines those natural differential forms that can be associated to a connection on a principal bundle.