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arXiv · 0802.0265

Geometrical representations of equiaffine curvature operators

Peter B. Gilkey·Stana Nikcevic
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Abstract

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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Peter B. Gilkey, Stana Nikcevic. 2008-02-02. Geometrical representations of equiaffine curvature operators. https://arxiv.org/abs/0802.0265

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