In this chapter we shall introduce the category (i.e., sets and maps) that we wish to work with. Without discussing any theory we shall present many examples of Riemannian manifolds and Riemannian maps. All of these examples will form the foundation for future investigations into constructions of Riemannian manifolds with various interesting properties.
KeywordsRiemannian Manifold Vector Bundle Riemannian Geometry Warped Product Isometric Immersion
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