We give a pinching theorem for a compact minimal generic submanifold with flat normal connection immersed in an odd-dimensional sphere with standard Sasakian structure.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-2-10, author = {Masahiro Kon}, title = {On minimal generic submanifolds immersed in $S^{2m+1}$ }, journal = {Colloquium Mathematicae}, volume = {89}, year = {2001}, pages = {299-304}, zbl = {1059.53046}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-2-10} }
Masahiro Kon. On minimal generic submanifolds immersed in $S^{2m+1}$ . Colloquium Mathematicae, Tome 89 (2001) pp. 299-304. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm90-2-10/