Some General Expressions for the Coefficient of the 14th Chern Form

1999/05/03 by C. C. Briggs, Briggs, C. C.
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9905001

11 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

Some general expressions are given for the coefficient of the 14th Chern form 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.

Related

• General Expressions for the Coefficients of Chern Forms Up to the 13th Order in Curvature
• A General Expression for the 14th Chern Form
• General Expressions for Chern Forms Up to the 13th Order in Curvature
• A Simple Formula for Generating Chern Characters by Repeated Exterior Differentiation
• Some Possible Features of General Expressions for Lovelock Tensors and for the Coefficients of Lovelock Lagrangians Up to the 15th Order in Curvature (and Beyond)