Geodesic
Scalar curvature and connected sums of self-dual 4-manifolds
Journal of the European Mathematical Society, Tome 13 (2011) no. 4, pp. 883-898

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Under a reasonable vanishing hypothesis, Donaldson and Friedman proved that the connected sum of two self-dual Riemannian 4-Manifolds is again self-dual. Here we prove that the same result can be extended over to the positive scalar curvature case. So that this is an analogue of the classical theorem of Gromov-Lawson and Schoen-Yau in the self-dual category. The proof is based on the twistor theory.
DOI : 10.4171/jems/269
Classification : 53-XX, 14-XX, 00-XX
Keywords: 4-manifold, self-dual metric, positive scalar curvature, Green's Function, Leray spectral sequence 
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     author = {Mustafa Kalafat},
     title = {Scalar curvature and connected sums of self-dual 4-manifolds},
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Mustafa Kalafat. Scalar curvature and connected sums of self-dual 4-manifolds. Journal of the European Mathematical Society, Tome 13 (2011) no. 4, pp. 883-898. doi: 10.4171/jems/269

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