most citedThe macroscopic spectrum of nilmanifolds with an emphasis on the heisenberg groups

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.DG2003

The Length of Harmonic Forms on a Compact Riemannian Manifold

Paul-Andi Nagy, Constantin Vernicos

We study dimensional Riemanniann manifolds with harmonic forms of constant length and first Betti number equal to showing that they are 2-steps nilmanifolds with some spe…

math.DG2002★ 2 cited

The macroscopic spectrum of nilmanifolds with an emphasis on the heisenberg groups

Constantin Vernicos

Take a riemanniann nilmanifold, lift its metric on its universal cover. In that way one obtains a metric invariant under the action of some co-compact subgroup. We use it to define…

math.DG2002

The macroscopical sound of tori

Constantin Vernicos

Take a torus with a Riemannian metric. Lift the metric on its universal cover. You get a distance which in turn yields balls. On these balls you can look at the Laplacian. Focus on…