Self-dual metrics on non-simply connected 4-manifolds

Date

2013-02-01

Author

Kalafat, Mustafa
Ozan, Yıldıray
Arguez, Hulya

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We construct self-dual (SD) but not locally conformally flat (LCF) metrics on families of non-simply connected 4-manifolds with small signature. We construct various sequences with bounded or unbounded Betti numbers and Euler characteristic. These metrics have negative scalar curvature. As an application, this is used to address Remark 4.79 of [1].

Subject Keywords

Self-dual metrics, 4-manifolds, Scalar curvature, Non-simply connected manifolds

URI

https://hdl.handle.net/11511/48467

Journal

JOURNAL OF GEOMETRY AND PHYSICS

DOI

https://doi.org/10.1016/j.geomphys.2012.08.005

Collections

Department of Mathematics, Article

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Citation Formats

M. Kalafat, Y. Ozan, and H. Arguez, “Self-dual metrics on non-simply connected 4-manifolds,” JOURNAL OF GEOMETRY AND PHYSICS, pp. 79–82, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48467.