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/