On the minimal submanifolds in ${\bf C}{\rm P}^m(c)$ and $S^N(1)$
On the minimal submanifolds in ${\bf C}{\rm P}^m(c)$ and $S^N(1)$
Let M be an n-dimensional compact totally real submanifold minimally immersed in CP m (c).Let σ be the second fundamental form of M. A known result states that if m=n and \σ 2 ^(n(n + l)c)/(4(2n -1)), then M is either totally geodesic or a finite Riemannian covering of the …