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math.MG2021★ 7 cited
The Willmore energy and the magnitude of Euclidean domains
Heiko Gimperlein, Magnus Goffeng
We study the geometric significance of Leinster's notion of magnitude for a compact metric space. For a smooth, compact domain in an odd-dimensional Euclidean space, we show that t…
math.MG2017★ 16 cited
On the magnitude function of domains in Euclidean space
Heiko Gimperlein, Magnus Goffeng
We study Leinster's notion of magnitude for a compact metric space. For a smooth, compact domain , we find geometric significance in the function $\math…