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

TL;DR

This paper derives general formulas for the coefficient of the 14th Chern form using the Riemann-Christoffel curvature tensor and related tensors on n-dimensional manifolds with a linear connection.

Contribution

It provides new explicit expressions for the 14th Chern form coefficient in terms of curvature and characteristic tensors, expanding understanding of characteristic classes.

Findings

Explicit formulas for the 14th Chern form coefficient.

Connections between Chern forms and Pontrjagin tensors.

General expressions applicable to n-dimensional manifolds.

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.