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arXiv · 1206.4483

On the Stability of the CMC Clifford Tori as Constrained Willmore Surfaces

Ernst Kuwert·Johannes Lorenz
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Abstract

The tori $T_r = r S^1 \times s S^1 \subset S^3$, where $r^2 + s^2 = 1$, are constrained Willmore surfaces, i.e. critical points of the Willmore functional among tori of the same conformal type. We compute which of the $T_r$ are stable critical points.

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Ernst Kuwert, Johannes Lorenz. 2012-06-20. On the Stability of the CMC Clifford Tori as Constrained Willmore Surfaces. https://arxiv.org/abs/1206.4483

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