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Yoshiaki Suzuki

Publications and source records attributed to Yoshiaki Suzuki.

2 recordsLinked to original sources
arXiv2026

Joint spectrum of the sub-Laplacian and the Reeb vector field on three-dimensional Heisenberg Bieberbach manifolds

A Heisenberg Bieberbach manifold is a compact quotient of the Heisenberg group by a discrete torsion-free subgroup of its pseudo-Hermitian automorphism group. In this paper, we study the joint spectrum of the sub-Laplacian and the Reeb vector field on three-dimensional Heisenberg Bieberbach manifolds. In particular, we explicitly compute the multiplicities of the joint spectrum using theta functions and the character theory of finite groups.

math.DG↗
arXiv2025

The Folland-Stein spectrum of some Heisenberg Bieberbach manifolds

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

math.DG↗