Basic Notions of Calculus on Manifolds
It is assumed that the reader is acquainted with the notion of a real, finite-dimensional differentiable manifold (smooth manifold). The aim of this chapter is to focus on the basic tools of calculus on manifolds and on the terminology and notation adopted in this book. A particular attention is paid to the concepts of rank of a map, clean and transverse intersection of submanifolds, and derivation of exterior forms.
KeywordsTangent Vector Tangent Bundle Smooth Manifold Integral Curve Basic Notion
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