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The vanishing of the fundamental gap of convex domains in $\mathbb H^n$ (2005.11784v1)
Published 24 May 2020 in math.DG and math.AP
Abstract: For the Laplace operator with Dirichlet boundary conditions on convex domains in $\mathbb Hn$, $n\geq 2$, we prove that the product of the fundamental gap with the square of the diameter can be arbitrarily small for domains of any diameter.
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