Four-dimensional Riemannian manifolds with commuting higher order Jacobi operators

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dc.creatorIvanova, Maria
dc.creatorVidev, Veselin
dc.creatorZhelev, Zhivko
dc.date2007-01-03
dc.date2007-02-26
dc.date.accessioned2026-07-07T07:48:28Z
dc.date.available2026-07-07T07:48:28Z
dc.descriptionWe consider four-dimensional Riemannian manifolds with commuting higher order Jacobi operators defined on two-dimensional orthogonal subspaces (polygons) and on their orthogonal subspaces. More precisely, we discuss higher order Jacobi operator $\mathcal{J}(X)$ and its commuting associated operator $\mathcal{J}(X^{\perp})$ induced by the orthogonal complement $X^{\perp}$ of the vector $X$, i. e. $\mathcal{J}(X)\circ\mathcal{J}(X^{\perp})=\mathcal{J}(X^{\perp})\circ \mathcal{J}(X)$. At the end some new central theorems have been cited. The latter are due to P. Gilkey, E. Puffini and V. Videv, and have been recently obtained.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0701090
dc.identifierhttp://arxiv.org/abs/math/0701090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124511
dc.subjectDifferential Geometry
dc.subject53C20
dc.titleFour-dimensional Riemannian manifolds with commuting higher order Jacobi operators
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