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arxiv: 0802.0265 · v1 · submitted 2008-02-02 · 🧮 math.DG

Geometrical representations of equiaffine curvature operators

classification 🧮 math.DG
keywords curvatureequiaffineflatoperatorsriccialgebraicbundleclasses
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We examine geometric representability results for various classes of equiaffine curvature operators. We show every Ricci flat algebraic curvature operator is geometrically realizable by a Ricci flat torsion free connection on the tangent bundle of some smooth manifold.

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