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arxiv: 1307.1875 · v1 · pith:NCZB7ZDEnew · submitted 2013-07-07 · 🧮 math.DG

Riemannian Submanifolds: A Survey

classification 🧮 math.DG
keywords differentialgeometryfieldriemanniansubmanifoldsactivearticleauthor
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Submanifold theory is a very active vast research field which plays an important role in the development of modern differential geometry. This branch of differential geometry is still so far from being exhausted; only a small portion of an exceedingly fruitful field has been cultivated, much more remains to be discovered. In this article, the author provides a broad review of Riemannian submanifolds in differential geometry.

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