Spectral asymptotics of sub-Riemannian Laplacians on compact Heisenberg manifolds

Sheng-Chen Mao, Ye Zhang

Let \(N_M(λ)\) be the spectral counting function of the sub-Laplacian on the compact Heisenberg manifold \(M=Γ\backslash\mathbb H_d\), where $\Gamma$ is a lattice subgroup of the Heisen…