Moduli space, heights and isospectral sets of metrics. (English) Zbl 0703.58010

Sémin. Équations Dériv. Partielles 1989-1990, Exp. No. 2, 6 p. (1990).
The author defines a \(C^{\infty}\)-topology on nonisometric classes of metrics and a uniform metric having constant Gauss curvature. It is established that an isospectral set of closed Riemannian 2-manifolds is compact in the \(C^{\infty}\)-topology.
Reviewer: H.D.Pande


58D15 Manifolds of mappings
58D29 Moduli problems for topological structures
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
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