加载中…
Let R be an algebraic curvature tensor for a non-degenerate inner product of signature(p,q) where q>4. If is a spacelike 2 plane, let be the associated skew-symmetric curvature operator. We classify the algebraic curvature tensors so R(-) has constant rank 2 and show these are geometrically realizable by hypersurfaces in flat spaces. We also classify the Ivanov-Petrova algebraic curvature tensors of rank 2; these are the algebraic curvature tensors of constant rank 2 such that the complex Jordan normal form of R(-) is constant.

生成讲解博客的中文版本

生成AI智能校验的中文版本