English

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

Differential Geometry 2011-08-17 v2 Algebraic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.math/0611769,
  title  = {Scalar Curvature and Connected Sums Of Self-Dual 4-Manifolds},
  author = {Mustafa Kalafat},
  journal= {arXiv preprint arXiv:math/0611769},
  year   = {2011}
}