Noncommutative residue, conformal invariants and lower dimensional volumes in Riemannian geometry

TL;DR

This paper discusses the noncommutative residue and conformal invariants in Riemannian geometry, focusing on their relation to lower-dimensional volumes and geometric analysis.

Contribution

It introduces new connections between noncommutative residues and conformal invariants, advancing the understanding of geometric structures in Riemannian manifolds.

Findings

Established links between noncommutative residue and conformal invariants

Derived formulas for lower-dimensional volumes in Riemannian geometry

Proposed new methods for geometric analysis

Abstract

The results of this paper are outdated. Finer versions of them will appear elsewhere.