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arxiv: 0904.1192 · v1 · submitted 2009-04-07 · 🧮 math.DG

Geometric realizations of curvature

M. Brozos-Vazquez , P. Gilkey , S. Nikcevic This is my paper
classification 🧮 math.DG
keywords hermitianalmostcurvaturegeometricparageometryhyperquestions
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We study geometric realization questions of curvature in the affine, Riemannian, almost Hermitian, almost para Hermitian, almost hyper Hermitian, almost hyper para Hermitian, Hermitian, and para Hermitian settings. We also express questions in Ivanov-Petrova geometry, Osserman geometry, and curvature homogeneity in terms of geometric realizations.

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  1. A Pontryagin class obstruction for purely electric and purely magnetic Weyl curvature tensors

    math.DG 2026-04 unverdicted novelty 7.0

    Vanishing of top-degree Pontryagin class products obstructs purely electric or magnetic Weyl curvature on compact 4k-manifolds.