Self-dual metrics on non-simply connected 4-manifolds
| Autor: | Mustafa Kalafat, Yildiray Ozan, Hülya Argüz |
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| Rok vydání: | 2013 |
| Předmět: |
Mathematics - Differential Geometry
Discrete mathematics Betti number General Physics and Astronomy Geometric Topology (math.GT) Construct (python library) 53C25 57R65 Dual (category theory) Mathematics - Geometric Topology symbols.namesake Differential Geometry (math.DG) Euler characteristic Bounded function Simply connected space FOS: Mathematics symbols Geometry and Topology Signature (topology) Mathematical Physics Scalar curvature Mathematics |
| Zdroj: | Journal of Geometry and Physics. 64:79-82 |
| ISSN: | 0393-0440 |
| DOI: | 10.1016/j.geomphys.2012.08.005 |
| Popis: | 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 addresses the Remark 4.79 of Besse. 8 pages, 1 figure. Minor revision |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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