Clifford Modules

Abstract

Here the Kahler form a, cf. (2.24), is viewed as a (1, I)-form. Moreover, the integrand in 0.3) is equal to a universal constant times the Laplacian applied to (3.l), plus terms involving at most second order derivatives of the metric. This follows from the formulas for E₂ and E₄ of Gilkey [30, p. 610], using that, in the computation of the supertrace, the linear contributions of the scalar curvature drop out. So the integrand in (1.3) involves fourth order derivatives of a.