ISOSPECTRAL MANIFOLDS WITH DIFFERENT LOCAL GEOMETRY

  • Gordon, Carolyn S.
  • Published : 2001.09.01

Abstract

Two compact Riemannian manifolds are said to be isospectral if the associated Laplace-Beltrami operators have the same eigenvalue spectrum. We describe a method, based on the used of Riemannian submersions, for constructing isospectral manifolds with different local geometry and survey examples constructed through this method.

Keywords

isospectral manifolds;Laplacian

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