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- W2949396381 abstract "Let R be an algebraic curvature tensor for a non-degenerate inner product of signature(p,q) where q>4. If $pi$ is a spacelike 2 plane, let $R(pi)$ 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." @default.
- W2949396381 created "2019-06-27" @default.
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- W2949396381 date "2002-05-08" @default.
- W2949396381 modified "2023-09-23" @default.
- W2949396381 title "Algebraic curvature tensors whose skew-symmetric curvature operator has constant rank 2" @default.
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