The normal curvature of totally real submanifolds of S6(1)

P. J. De Smet, F. Dillen, L. Verstraelen, L. Vrancken
1998 Glasgow Mathematical Journal  
We prove the pointwise inequality 0 > p + p L -1 involving the normalized scalar curvature p and normal scalar curvature p 1 of a totally real 3-dimensional submanifold of the nearly Kaehler 6-sphere. Further we classify submanifolds realizing the equality in this inequality.
doi:10.1017/s0017089500032511 fatcat:vw45ys767nbjtbluogxdoe3cci