The number of tensor differential invariants of a Riemannian metric

TL;DR

This paper calculates the count of independent tensor components derived from higher-order derivatives of a Riemannian metric, advancing understanding of geometric invariants.

Contribution

It provides a precise enumeration of tensor differential invariants for Riemannian metrics, a novel contribution to differential geometry.

Findings

Number of independent tensor components determined

Enhanced understanding of Riemannian invariants

Framework for higher-order derivative analysis

Abstract

We determine the number of functionally independent components of tensors involving higher-order derivatives of a Riemannian metric.