We do not use much intrinsic Riemannian geometry in this book, since our manifolds are essentially submanifolds of Euclidean spaces. However, the Steiner formula for convex subsets with smooth boundaries and the tubes formula of Weyl (see Chaps. 16 and 17) are Riemannian results. Moreover, the invariant forms described in Chap. 19 have a typical Riemannian flavor. That is why we give a brief survey of Riemannian geometry. The reader interested in the subject can consult [10], [29], [76], [57, Tome 1, Chaps. 4 and 5], or [67].
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Background on Riemannian Geometry. In: Generalized Curvatures. Geometry and Computing, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73792-6_10
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DOI: https://doi.org/10.1007/978-3-540-73792-6_10
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