The nonexistence of rank 4 IP tensors in signature .

Pearson, Kelly Jeanne; Zhang, Tan

Displaying similar documents to “The nonexistence of rank 4 IP tensors in signature $(1, 3)$ .”

The Jordan normal form of higher order Osserman algebraic curvature tensors

Peter Gilkey, Raina Ivanova (2002)

Commentationes Mathematicae Universitatis Carolinae

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We construct new examples of algebraic curvature tensors so that the Jordan normal form of the higher order Jacobi operator is constant on the Grassmannian of subspaces of type $(r, s)$ in a vector space of signature $(p, q)$ . We then use these examples to establish some results concerning higher order Osserman and higher order Jordan Osserman algebraic curvature tensors.

Complex IP pseudo-Riemannian algebraic curvature tensors

Peter B. Gilkey, Raina Ivanova (2002)

Banach Center Publications

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Curvature tensors in dimension four which do not belong to any curvature homogeneous space

Oldřich Kowalski, Friedbert Prüfer (1994)

Archivum Mathematicum

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A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.

Nilpotent spacelike Jordan Osserman pseudo-Riemannian manifolds

Gilkey, P., Nikčević, S.

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Displaying similar documents to “The nonexistence of rank 4 IP tensors in signature ( 1 , 3 ) .”

The Jordan normal form of higher order Osserman algebraic curvature tensors

Complex IP pseudo-Riemannian algebraic curvature tensors

Curvature tensors in dimension four which do not belong to any curvature homogeneous space

Nilpotent spacelike Jordan Osserman pseudo-Riemannian manifolds

Displaying similar documents to “The nonexistence of rank 4 IP tensors in signature $(1, 3)$ .”