Vanishing of top-degree Pontryagin class products obstructs purely electric or magnetic Weyl curvature on compact 4k-manifolds.
Some cohomology classes in principal fiber bundles and their application to Riemannian geometry.Proc
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CR Paneitz operator on non-embeddable 3D tori has infinitely many negative eigenvalues under mild assumptions.
citing papers explorer
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A Pontryagin class obstruction for purely electric and purely magnetic Weyl curvature tensors
Vanishing of top-degree Pontryagin class products obstructs purely electric or magnetic Weyl curvature on compact 4k-manifolds.
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Non-embeddable torus and CR Paneitz operator
CR Paneitz operator on non-embeddable 3D tori has infinitely many negative eigenvalues under mild assumptions.