Using an inequality related to the mean curvature, we give a sufficient condition for an isotropic immersion of a complex space form into a real space form to be parallel.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-9, author = {Nobutaka Boumuki}, title = {Isotropic Immersions of Complex Space Forms into Real Space Forms and Mean Curvatures}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {52}, year = {2004}, pages = {431-436}, zbl = {1098.53016}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-9} }
Nobutaka Boumuki. Isotropic Immersions of Complex Space Forms into Real Space Forms and Mean Curvatures. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 431-436. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-4-9/