Vanishing of top-degree Pontryagin class products obstructs purely electric or magnetic Weyl curvature on compact 4k-manifolds.
Courbure d’ordrepet les classes de Pontrjagin.J
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A unified representation-theoretic approach computes the complete Laplace-Beltrami spectra on homogeneous principal bundles and applies the results to classify scalar stability and Yamabe bifurcations on specific manifold families.
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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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Explicit Laplace Spectra of Homogeneous Principal Bundles
A unified representation-theoretic approach computes the complete Laplace-Beltrami spectra on homogeneous principal bundles and applies the results to classify scalar stability and Yamabe bifurcations on specific manifold families.