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The Frolicher-Nijenhuis Calculus in Synthetic Differential Geometry

2008/10/30 by Hirokazu Nishimura, Nishimura, Hirokazu
Mathematics · Physics and Astronomy · #51K10 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.DG #msc:51K10

paper · pdf · doi:10.48550/arxiv.0810.5492

openalex publication_date 2008/10/30 · arxiv created 2008/11/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Just as the Jacobi identity of vector fields is a natural consequence of the general Jacobi identity of microcubes in synthetic differential geometry, it is to be shown in this paper that the graded Jacobi identity of the Frolicher-Nijenhuis bracket is also a natural consequence of the general Jacobi identity.

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