Abstract
In this chapter, we study the relations between the Riemannian Geometry of a submanifold and that of the ambiant space. It is well known that surfaces of the Euclidean space were the first examples of Riemannian manifolds to be studied. In fact, the first truly Riemannian geometry result is due to Gauss, and roughly says the following.
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© 1990 Springer-Verlag Berlin Heidelberg
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Gallot, S., Hulin, D., Lafontaine, J. (1990). Riemannian Submanifolds. In: Riemannian Geometry. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97242-3_5
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DOI: https://doi.org/10.1007/978-3-642-97242-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52401-4
Online ISBN: 978-3-642-97242-3
eBook Packages: Springer Book Archive