Joint Mathematics Colloquium
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Abstract |
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| There is a close relation between the
eigenvalues of the Laplace-Beltrami 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.
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