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

Kalafat, Mustafa. "Scalar curvature and connected sums of self-dual 4-manifolds." Journal of the European Mathematical Society 013.4 (2011): 883-898. <http://eudml.org/doc/277398>.

@article{Kalafat2011,
abstract = {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.},
author = {Kalafat, Mustafa},
journal = {Journal of the European Mathematical Society},
keywords = {4-manifold; self-dual metric; positive scalar curvature; Green's Function; Leray spectral sequence; self-dual Riemannian 4-manifold; twistor; self-dual Riemannian 4-manifold; twistor},
language = {eng},
number = {4},
pages = {883-898},
publisher = {European Mathematical Society Publishing House},
title = {Scalar curvature and connected sums of self-dual 4-manifolds},
url = {http://eudml.org/doc/277398},
volume = {013},
year = {2011},
}

TY - JOUR
AU - Kalafat, Mustafa
TI - Scalar curvature and connected sums of self-dual 4-manifolds
JO - Journal of the European Mathematical Society
PY - 2011
PB - European Mathematical Society Publishing House
VL - 013
IS - 4
SP - 883
EP - 898
AB - 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.
LA - eng
KW - 4-manifold; self-dual metric; positive scalar curvature; Green's Function; Leray spectral sequence; self-dual Riemannian 4-manifold; twistor; self-dual Riemannian 4-manifold; twistor
UR - http://eudml.org/doc/277398
ER -