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

@article{Magano2020OnEM, title={On eternal mean curvature flows of tori in perturbations of the unit sphere.}, author={Claudia V. S. Magano and Graham Smith}, journal={arXiv: Differential Geometry}, year={2020} }

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 $\Bbb{S}^3$.

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## Morse homology: orientation of the moduli space of gradient flow lines, coherence and applications

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