CURVATURE TENSORS WHOSE JACOBI OR SZABÓ OPERATOR IS NILPOTENT ON NULL VECTORS
نویسندگان
چکیده
منابع مشابه
Algebraic curvature tensors whose skew-symmetric curvature operator has constant rank 2
Let R be an algebraic curvature tensor for a non-degenerate inner product of signature (p, q) where q ≥ 5. If π is a spacelike 2 plane, let R(π) be the associated skewsymmetric 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 curva...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2002
ISSN: 0024-6093,1469-2120
DOI: 10.1112/s0024609302001339