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arXiv · 2402.15093

The Folland-Stein spectrum of some Heisenberg Bieberbach manifolds

Yoshiaki Suzuki
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Abstract

We study the eigenvalues and eigenfunctions of the Folland-Stein operator $\mathscr{L}_\alpha$ on some examples of 3-dimensional Heisenberg Bieberbach manifolds, that is, compact quotients $\Gamma\backslash\mathbb{H}$ of the Heisenberg group $\mathbb{H}$ by a discrete torsion-free subgroup $\Gamma$ of $\mathbb{H}\rtimes U(1)$.

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Yoshiaki Suzuki. 2024-02-23. The Folland-Stein spectrum of some Heisenberg Bieberbach manifolds. https://arxiv.org/abs/2402.15093

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