Scalar curvature and connected sums of self-dual 4-manifolds


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Kalafat M.

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, cilt.13, sa.4, ss.883-898, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Konu: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.4171/jems/269
  • Dergi Adı: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.883-898

Özet

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 to the positive scalar curvature case. This is an analogue of the classical theorem of Gromov-Lawson and Schoen-Yau in the self-dual category. The proof is based on twistor theory.