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High-Dimensional Families of Minimal Surfaces of Arbitrary Genus in Round Spheres

Caniato, Riccardo
arXiv (All) · Papers
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53c42analysis-of-pdescomplex-variablesdifferential-geometry
We prove the existence of arbitrarily high-dimensional families of minimal surfaces of any prescribed genus and conformal structure in even-dimensional round spheres. More precisely, let $n\geq2$ and let $Σ$ be any closed Riemann surface of genus $g$. We construct a sequence of degrees $d_\ell\to+\i
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