Isometric immersions which preserve curvature operators
Isometric immersions which preserve curvature operators
The curvature tensor of a Riemannian manifold M can be expressed by a function which assigns to each pair of vectors x, yEMm (tangent space to M at m) a skew-symmetric linear operator Rxy on Mm [l].Call Rxy the curvature operator of x, y.Let j: Md->Md+1 be an isometric immersion.If …