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arXiv · 1603.09053

Isotropic tori in $\mathbb{C}^m$ revisited

Mei-Lin Yau
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Abstract

We show that for $m>n\geq 2$, there are at least two exact isotropic $n$-tori in $\mathbb{C}^m$ which are not Hamiltonian isotopic in $\mathbb{C}^m$, even though they are smoothly isotopic as isotropic $n$-tori. We apply this discovery to obtain more distinct non-exact isotropic tori in $\mathbb{C}^m$.

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Mei-Lin Yau. 2016-03-30. Isotropic tori in $\mathbb{C}^m$ revisited. https://arxiv.org/abs/1603.09053

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