Pseudo-Riemannian manifolds with Commuting Jacobi Operators

Details Pseudo-Riemannian manifolds with Commuting Jacobi Operators Pseudo-Riemannian manifolds with Commuting Jacobi Operators

2006-08-29

arxiv.org/abs/math/0608707v1

Mathematics

Differential Geometry

Scientific paper

We study the geometry of pseudo-Riemannian manifolds which are
Jacobi--Tsankov, i.e. J(x)J(y)=J(y)J(x) for all tangent vectors x and y. We
also study manifolds which are 2-step Jacobi nilpotent, i.e. J(x)J(y)=0 for all
tangent vectors x and y.

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