The minimal marked length spectrum of Riemannian two-step nilmanifolds
The authors investigate the minimal marked length spectrum and the Laplace spectrum on functions and on forms for compact Riemannian two-step nilmanifolds. For a generic class of two-step manifolds the following is proved as main result: If a pair of such manifolds in this class has the same minimal marked length spectrum then the nilmanifolds have the same Laplace spectrum on functions and on forms.
scientific article; zbMATH DE number 2141497
scientific article