Journal article
Constant Scalar Curvature Metrics on Connected Sums
- Abstract:
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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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Bibliographic Details
- Journal:
- International Journal of Mathematics and Mathematical Sciences 2003:7 (2003), 405-450.
- Publication date:
- 2001-08-03
- Source identifiers:
-
17409
Item Description
- Keywords:
- Pubs id:
-
pubs:17409
- UUID:
-
uuid:0a210b17-4b08-45c9-86df-8536852f8542
- Local pid:
- pubs:17409
- Deposit date:
- 2012-12-19
Terms of use
- Copyright date:
- 2001
- Notes:
- 45 pages, LaTeX. (v2) Rewritten, shorter, references added
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