General Expressions for the Coefficients of Chern Forms Up to the 13th Order in Curvature

1999/05/03 by C. C. Briggs, Briggs, C. C.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9905002

27 pages

arxiv created 1999/05/03 · openalex publication_date 1999/05/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

General expressions are given for the coefficients of Chern forms up to the 13th order in curvature in terms of the Riemann-Christoffel curvature tensor and some of its concomitants (e.g., Pontrjagin's characteristic tensors) for n-dimensional differentiable manifolds having a general linear connection.

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