Explicit formulas for the Hodge-Laplacian spectrum on 1-forms of homogeneous 3-spheres are derived, and this spectrum determines the metric up to isometry.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
-
Hodge Laplacian on $1$-forms of homogeneous $3$-spheres
Explicit formulas for the Hodge-Laplacian spectrum on 1-forms of homogeneous 3-spheres are derived, and this spectrum determines the metric up to isometry.
-
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.