Scalar Curvature and Connected Sums Of Self-Dual 4-Manifolds

Details Scalar Curvature and Connected Sums Of Self-Dual 4-Manifolds Scalar Curvature and Connected Sums Of Self-Dual 4-Manifolds

2006-11-25

arxiv.org/abs/math/0611769v2

J. Eur. Math. Soc. (JEMS) 13, No. 4, 883-898 (2011)

Mathematics

Differential Geometry

Scientific paper

Under a 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.

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