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A Variational Analysis of Einstein–Scalar Field Lichnerowicz Equations on Compact Riemannian Manifolds

✍ Scribed by Emmanuel Hebey; Frank Pacard; Daniel Pollack


Publisher
Springer
Year
2007
Tongue
English
Weight
261 KB
Volume
278
Category
Article
ISSN
0010-3616

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Let (V 2 , g) be a C ∞ compact Riemannian manifold of negative constant scalar curvature of dimension n = 2, and let f be a smooth function defined on V 2 . We intend to find conditions on f in order that f be the scalar curvature of a metric conformal to g.