Displaying similar documents to “Nilpotent spacelike Jordan Osserman pseudo-Riemannian manifolds”

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.

Self-duality and pointwise Osserman manifolds

Dimitri V. Alekseevsky, Novica Blažić, Neda Bokan, Zoran Rakić (1999)

Archivum Mathematicum

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This paper is a contribution to the mathematical modelling of the hump effect. We present a mathematical study (existence, homogenization) of a Hamilton-Jacobi problem which represents the propagation of a front f lame in a striated media.