The aim of this graduate-level text is to equip the reader with the
basic tools and techniques needed for research in various areas of
geometric analysis. Throughout, the main theme is to present the
interaction of partial differential equations and differential
geometry. More specifically, emphasis is placed on how the behavior
of the solutions of a PDE is affected by the geometry of the
underlying manifold and vice versa. For efficiency the author
mainly restricts himself to the linear theory and only a
rudimentary background in Riemannian geometry and partial
differential equations is assumed. Originating from the author's
own lectures, this book is an ideal introduction for graduate
students, as well as a useful reference for experts in the field.
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