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

Journal of the European Mathematical Society (2011)

- Volume: 013, Issue: 4, page 883-898
- ISSN: 1435-9855

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topKalafat, 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 -

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