Constant scalar curvature metrics on connected sums.
Joyce, Dominic (2003)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “The laplacian on asymptotically flat manifolds and the specification of scalar curvature”
Constant scalar curvature metrics on connected sums.
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This paper discusses the connection between projective relatedness and conformal flatness for 4-dimensional manifolds admitting a metric of signature (+,+,+,+) or (+,+,+,−). It is shown that if one of the manifolds is conformally flat and not of the most general holonomy type for that signature then, in general, the connections of the manifolds involved are the same and the second manifold is also conformally flat. Counterexamples are provided which place limitations on the potential...
Future directions of research in geometry: a summary of the panel discussion at the 2007 midwest geometry conference.
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