Periodic Riemannian manifold with preassigned gaps in spectrum of Laplace-Beltrami operator

Andrii Khrabustovskyi

It is known (E.L. Green (1997), O. Post (2003)) that for an arbitrary $m\in \mathbb{N}$ one can construct a periodic non-compact Riemannian manifold $M$ with at least $m$ gaps in th…