Abstract:
Let x:M
m→S
m+p(m≥2; p≥2) be an m-dimensional no umbilical submaniods in m+p-dimensional unit sphere S
m+p. The MO
¨bius second basic from B of M
m is the invariant of under the group of MO
¨bius transformations in S
m+p. We obtain inequality
![](https://image.hanspub.org/IMAGE/Edit_af57a563-a43f-4fc8-a7ae-4baa583b3c37.png)
. The conditions for the equality sign are proved.