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Zbl 0990.53045
Lafontaine, Jacques; Rozoy, Luc
Scalar curvature and black holes. (Courbure scalaire et trous noirs.) (French)
[A] Séminaire de théorie spectrale et géométrie. Année 1999-2000. St. Martin d'Hères: Université de Grenoble I, Institut Fourier, Sémin. Théor. Spectr. Géom. 18, 69-76 (2000).

The authors give a complete classification of compact Riemannian manifolds of dimension 3 such that the equation $Ddf+ (\Delta f)g-f \text {Ric}=0$ has a nontrivial solution of Bott-Morse.
[B.Rouxel (Quimper)]

MSC 2000:: *53C25 Special Riemannian manifolds
53C80 Appl. of global differential geometry to physics
83C57 Black holes
58E11 Critical metrics in infinite-dimensional spaces

Keywords: compact Riemannian manifold of dimension 3

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