CALCULATION OF DE WITT--SEELEY--GILKEY COEFFICIENTS FOR MINIMAL FOURTH--ORDER OPERATOR

TL;DR

This paper computes the De Witt--Seeley--Gilkey coefficients for the broadest class of minimal fourth-order differential operators on Riemannian manifolds of any dimension, extending previous specific cases.

Contribution

It provides a general formula for De Witt--Seeley--Gilkey coefficients for minimal fourth-order operators on arbitrary-dimensional Riemannian spaces, filling a gap in spectral geometry.

Findings

Derived explicit formulas for the coefficients.

Extended known results to higher-order operators.

Applicable to a wide class of Riemannian manifolds.

Abstract

De Witt--Seeley--Gilkey coefficients are calculated for the most general minimal differential fourth--order operator on Riemannian space of an arbitrary dimension.