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20142020
most citedFree boundary minimal surfaces of any topological type in Euclidean balls via shape optimization

17 citations · 49 across the 15 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.DG2019★ 10 cited

Handle attachment and the normalized first eigenvalue

Henrik Matthiesen, Anna Siffert

We show that the first eigenvalue of a closed Riemannian surface normalized by the area can be strictly increased by attaching a cylinder or a cross cap. As a consequence we obtain…

math.DG2019

Sharp asymptotics of the first eigenvalue on some degenerating surfaces

Henrik Matthiesen, Anna Siffert

We study sharp asymptotics of the first eigenvalue on Riemannian surfaces obtained from a fixed Riemannian surface by attaching a collapsing flat handle or cross cap to it. Through…