Riemannian Submanifolds: A Survey
Differential Geometry
2013-07-09 v1
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.
Cite
@article{arxiv.1307.1875,
title = {Riemannian Submanifolds: A Survey},
author = {Bang-Yen Chen},
journal= {arXiv preprint arXiv:1307.1875},
year = {2013}
}
Comments
272 pages. The survey article is a chapter of Handbook of Differential Geometry, Vol. I, 2000, edited by F. Dillen and L. Verstraelen