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Constant Scalar Curvature Metrics on Connected Sums

Abstract:

Let (M,g) be a compact Riemannian manifold with dimension n > 2. The Yamabe problem is to find a metric with constant scalar curvature in the conformal class of g, by minimizing the total scalar curvature. The proof was completed in 1984. Suppose (M',g') and (M'',g'') are compact Riemannian n-manifolds with constant scalar curvature. We form the connected sum M' # M'' of M' and M'' by removing small balls from M' and M'' and joining the S^{n-1} boundaries together. In this paper we use a...

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Journal:
International Journal of Mathematics and Mathematical Sciences 2003:7 (2003), 405-450.
Publication date:
2001-08-03
URN:
uuid:0a210b17-4b08-45c9-86df-8536852f8542
Source identifiers:
17409
Local pid:
pubs:17409
Keywords:

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