The spectral length of a map between Riemannian manifolds. (English) Zbl 1267.58020
The authors define the spectral length of a differential mapping between Riemannian manifolds using families of spectral Dirichlet series. This length defines a distance between Riemannian manifolds up to isometries.
Reviewer: Hans-Bert Rademacher (Leipzig)
MSC:
| 58J50 | Spectral problems; spectral geometry; scattering theory on manifolds |
| 53C20 | Global Riemannian geometry, including pinching |
| 58J53 | Isospectrality |
Keywords:
family of spectral Dirichlet series; spectral length of a mapping; Laplace-Beltrami operatorReferences:
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