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

Abstract

We show that for $m>n\ge 2$, 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 ${\mathbb{C}}^m$.

This paper has been withdrawn by the author because Theorem 1.1 is wrong

Cited by in corpus (1)

• Exact Lagrangian tori in $T^{\ast }{\mathbb{T}}^n$