Pure and Applied Differential Geometry: PADGE 2007 pages:83-92
International Congress on Pure and Applied Differential Geometry PADGE 2007 location:Brussel date:10-13 April 2007
We study a pointwise inequality for submanifolds in real space forms involving the scalar curvature, the normal scalar curvature and the mean curvature. We translate it into an algebraic problem, allowing us to prove a slightly weaker version of it. We also prove the conjecture for certain types of submanifolds of $\Bbb C^n$.