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Zbl 0703.58010
Phillips, R.
Moduli space, heights and isospectral sets of metrics. (English)
[J] Sémin. Équations Dériv. Partielles 1989-1990, Exp. No.2, 6 p. (1990).

The author defines a $C\sp{\infty}$-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 $C\sp{\infty}$-topology.
[H.D.Pande]

MSC 2000:: *58D15 Manifolds of mappings
58D29 Moduli problems for topological structures on manifolds of mappings
53C21 Methods of Riemannian geometry (global)

Keywords: C${}\sp{\infty }$-topology; classes of metrics; constant Gauss curvature; isospectral set of closed Riemannian 2-manifolds

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