Spektrale Geometrie und Huygenssches Prinzip für Tensorfelder und Differentialformen II

Abstract

Geometrical properties (especially local flatness) of a Riemannian manifold are recognized from analytical properties (spectrum or Huygens’ principle) of a Laplace operator. Especially, the "definiteness problem" of the spectral geometry of closed manifolds is solved for the canonical Laplace operator which acts on diffrential forms.