DOI link for Analytic preliminaries
Analytic preliminaries book
In Chapter 1, we present the necessary differential geometric and analytic facts which we shall need in Chapter 2 and in Chapter 3. Throughout this book, we shall let M be a smooth compact m dimensional Riemannian manifold with smooth boundary ∂M; we say M is a closed manifold if ∂M is empty. We adopt the Einstein convention and sum over repeated indices.