On the differential form spectrum of geometrically finite orbifolds
Werner Ballmann, Panagiotis Polymerakis
TL;DR
This paper establishes lower bounds for the essential spectrum of the Hodge-Laplacian operator on geometrically finite orbifolds, advancing understanding of their spectral properties.
Contribution
It provides new lower bounds for the essential spectrum of the Hodge-Laplacian on geometrically finite orbifolds and their suborbifolds.
Findings
Lower bounds for the essential spectrum derived
Applicable to geometrically finite orbifolds and suborbifolds
Enhances spectral analysis of orbifold geometries
Abstract
We derive lower bounds for the essential spectrum of the Hodge-Laplacian on geometrically finite orbifolds and their suborbifolds.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometric and Algebraic Topology · Mathematics and Applications