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Scalar curvature and connected sums of self-dual 4-manifolds
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Date
2011-01-01
Author
Kalafat, Mustafa
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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 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.
Subject Keywords
Applied Mathematics
,
General Mathematics
URI
https://hdl.handle.net/11511/64171
Journal
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
DOI
https://doi.org/10.4171/jems/269
Collections
Department of Mathematics, Article
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M. Kalafat, “Scalar curvature and connected sums of self-dual 4-manifolds,”
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
, pp. 883–898, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64171.