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Prehomogeneous geometries vs. bundles with connections

2023/06/29 by Ercüment H. Ortaçgil, Ortaçgil, Ercüment
Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2306.17129

openalex publication_date 2023/06/29 · openalex created_date 2023/07/01 · openalex updated_date 2026/07/28

Abstract

The below discussion is in three sections A, B, C, each section in two parts I, II, I representing the standpoint of bundles with connections and II representing the standpoint of prehomogeneous geometries (phg's). In A, our object of study is a fibered manifold, in B its k-jet bundle and in C a general nonlinear PDE.

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