Heat equation asymptotics of ‘‘nonminimal’’ operators on differential forms
Peter Gilkey, Thomas Branson, S. A. Fulling · Journal of Mathematical Physics · 1991
Let D=αdδ+βδd−E be a natural operator on differential forms. For example, (Dv)j=−■k∇kvj−C1■j∇kvk +C2Rjkvk has this form. It will be shown that when the lower-order term E is absent, the integrated heat kernel coefficients an(D) can be simply expressed in terms of the (familiar) coefficients an(Δj) for the Laplacian operators on forms. The first two coefficients when a zeroth-order term is present are evaluated.