The Jordan normal form of higher order Osserman algebraic curvature tensors

2002/05/07 by Peter Gilkey, Raina Ivanova
Mathematics · #math.DG #msc:53B20

paper · pdf

published as Comment. Math. Univ. Carolinae 43 (2002) 231-242

arxiv created 2002/05/07 · arxiv updated 2009/11/30

Abstract

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.

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