Pseudo-Riemannian manifolds with Commuting Jacobi Operators

M. Brozos-Vazquez; P. Gilkey

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Pseudo-Riemannian manifolds with Commuting Jacobi Operators

M. Brozos-Vazquez·P. Gilkey

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Abstract

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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BibTeX RIS

M. Brozos-Vazquez, P. Gilkey. 2006-08-29. Pseudo-Riemannian manifolds with Commuting Jacobi Operators. https://arxiv.org/abs/math/0608707

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