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arXiv · 0807.0837

A class of locally conformally flat 4-manifolds

Selman Akbulut·Mustafa Kalafat
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Abstract

We construct infinite families of non-simply connected locally conformally flat (LCF) 4-manifolds realizing rich topological types. These manifolds have strictly negative scalar curvature and the underlying topological 4-manifolds do not admit any Einstein metrics. Such 4-manifolds are of particular interest as examples of Bach-flat but non-Einstein spaces in the non-simply connected case. Besides that the underlying smooth manifolds are examples of spaces that admit open book decomposition in dimension 4.

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Selman Akbulut, Mustafa Kalafat. 2013-01-27. A class of locally conformally flat 4-manifolds. https://arxiv.org/abs/0807.0837

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