On spectral convergence of vector bundles and convergence of principal bundles

Research output: Contribution to journalArticlepeer-review

Abstract

In this article we consider the continuity of the eigenvalues of the connection Laplacian of G-connections on vector bundles over Riemannian manifolds. To show it, we introduce the notion of the asymptotically G-equivariant measured Gromov-Hausdorff topology on the space of metric measure spaces with isometric G-actions, and apply it to the total spaces of principal G-bundles equipped with G-connections over Riemannian manifolds.

53C05, 58J50

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2018 Aug 7

ASJC Scopus subject areas

  • General

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