Joint Mathematics Colloquium


Abstract 

There is a close relation between the
eigenvalues of the LaplaceBeltrami operator of a Riemannian manifold
and the set of lengths of its closed geodesics. Moreover, from these
spectra one can extract additional geometric properties of the
manifolds. In my talk I will describe some new and old results of this
type. In particular, I will discuss the question of how much
information can be obtained when we have only partial information on
the spectrum.
