We show that there is no proper CR submanifold with semi-flat normal connection and semi-parallel second fundamental form in a complex space form with non-zero constant holomorphic sectional curvature such that the dimension of the holomorphic tangent space is greater than 2.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-2-8, author = {Mayuko Kon}, title = {Semi-parallel CR submanifolds in a complex space form}, journal = {Colloquium Mathematicae}, volume = {122}, year = {2011}, pages = {237-246}, zbl = {1227.53066}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-2-8} }
Mayuko Kon. Semi-parallel CR submanifolds in a complex space form. Colloquium Mathematicae, Tome 122 (2011) pp. 237-246. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm124-2-8/