Eigenvalues and Holonomy
Werner Ballmann, Jochen Br\"uning, Gilles Carron
TL;DR
This paper investigates how the eigenvalues of connection Laplacians relate to the holonomy, providing estimates that connect geometric properties with spectral data.
Contribution
It introduces new estimates linking eigenvalues of connection Laplacians to the non-triviality of holonomy, advancing understanding of geometric analysis.
Findings
Eigenvalue bounds depend on holonomy properties
Non-trivial holonomy influences spectral estimates
Provides tools for geometric analysis involving connection Laplacians
Abstract
We estimate the eigenvalues of connection Laplacians in terms of the non-triviality of the holonomy.
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Taxonomy
TopicsMatrix Theory and Algorithms