Riemannian Submanifolds: A Survey

Abstract

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.

arXiv comment272 pages. The survey article is a chapter of Handbook of Differential Geometry, Vol. I, 2000, edited by F. Dillen and L. Verstraelen

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