On eternal mean curvature flows of tori in perturbations of the unit sphere

DOI10.2140/PJM.2022.320.319arXiv2004.00054MaRDI QIDQ6337814

Claudia V. S. Magaño, Graham Smith

Publication date: 31 March 2020

Abstract: We construct eternal mean curvature flows of tori in perturbations of the standard unit sphere $Bbb{S}^3$. This has applications to the study of the Morse homologies of area functionals over the space of embedded tori in $Bbb{S}^3$.

Mathematics Subject Classification ID

Flows related to mean curvature (53E10)

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