ABSTRACT

In Chapter 3, we discuss the heat trace asymptotics. As in Chapter 2, let M be a compact Riemannian manifold of dimension m with smooth boundary ∂ M and let V be a smooth vector bundle over M. We shall introduce a number of different constants https://www.w3.org/1998/Math/MathML"> c i https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429208423/53d5c7c8-829c-46bf-80e4-a63fb84682ce/content/eq1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> ; we clear the notation at the beginning of each new section. Thus, for example, the constants of Section 3.3 have no relation to the constants of Section 3.4.