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math.DG2025
The magnitude and spectral geometry
Heiko Gimperlein, Magnus Goffeng, Nikoletta Louca
We study the geometric significance of Leinster's notion of magnitude for a smooth manifold with boundary of arbitrary dimension, motivated by open questions for the unit disk in $…
math.DG2024
Riesz energies and the magnitude of manifolds
Heiko Gimperlein, Magnus Goffeng
We study the geometric significance of Leinster's magnitude invariant. For closed manifolds we find a precise relation with Brylinski's beta function and therefore with classical i…