Essays about: "flat torus"

Found 1 essay containing the words flat torus.

  1. 1. Three Perspectives of Schiemann’s Theorem

    University essay from Göteborgs universitet/Institutionen för matematiska vetenskaper

    Author : Felix Rydell; [2020-06-23]
    Keywords : Lattice theory; Minkowski reduction; flat torus; isospectrality; spectral determination; positive definite quadratic forms; Alexander Schiemann.;

    Abstract : Interest in the field of spectral geometry, the study of how analytic and geometric properties of manifolds are related, was sparked when Marc Kac in 1966 asked the question “can one hear the shape of a drum?”. One of the problems that garnered attention because of this was whether the Laplace spectrum of a flat torus determines its shape, even though it was not new. READ MORE