Symmetry of Embedded Genus-One Helicoids - Mathematics > Differential GeometryReportar como inadecuado




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Abstract: In this note, we use the Lopez-Ros deformation introduced in 9 to show thatany embedded genus-one helicoid must be symmetric with respect to rotation by180 degrees around a normal line. This partially answers a conjecture ofBobenko from 3. We also show this symmetry holds for an embedded genus-khelicoid $\Sigma$, provided the underlying conformal structure of $\Sigma$ ishyperelliptic.



Autor: Jacob Bernstein, Christine Breiner

Fuente: https://arxiv.org/







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