This paper is a survey of results on topological structures and curvature structures of complete submanifolds in a Euclidean space.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-3, author = {Qing-Ming Cheng}, title = {Topology and geometry of complete submanifolds in euclidean spaces}, journal = {Banach Center Publications}, volume = {68}, year = {2005}, pages = {67-80}, zbl = {1089.53042}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-3} }
Qing-Ming Cheng. Topology and geometry of complete submanifolds in euclidean spaces. Banach Center Publications, Tome 68 (2005) pp. 67-80. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc69-0-3/