A Riemannian submanifold N of a Riemannian manifold M is a submanifold of M equipped with the Riemannian metric inherited from M. The image of an isometric immersion is a Riemannian submanifold.[1]
References
Chen, Bang-Yen (1973). Geometry of Submanifolds. New York: Mercel Dekker. p. 298. ISBN 0-8247-6075-1.
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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