On uniqueness and differentiability in the space of yamabe metrics

Communications in Contemporary Mathematics

Volumn 7, Issue 3, 2005, Pages 299-310

  Anderson, Michael T ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

Einstein metrics; Yamabe metrics

Indexed keywords

EID: 20644459483     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199705001751     Document Type: Article

References (8)

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5. M. Obata, The conjectures on conformal transformations of Riemannian manifolds, J. Differential Geom. 6 (1972) 247-258.
6. R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom. 20 (1984) 479-495.
7. R. Schoen, Variational theory for the total scalar curvature functional for Riemannian metrics and related topics, Lecture Notes in Mathematics, Vol. 1365 (Springer Verlag, 1987), pp. 120-154.
8. R. Schoen, On the number of constant scalar curvature metrics in a conformal class, in Differential Geometry: A Symposium in Honor of Manfredo do Carmo, eds. H. B. Lawson and K. Tenenblat (Wiley, 1991), pp. 311-320.