A class of locally conformally flat 4-manifolds
Differential Geometry
2013-01-29 v5 Geometric Topology
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.
Keywords
Cite
@article{arxiv.0807.0837,
title = {A class of locally conformally flat 4-manifolds},
author = {Selman Akbulut and Mustafa Kalafat},
journal= {arXiv preprint arXiv:0807.0837},
year = {2013}
}
Comments
29 pages, 30 figures. Computation of the sign of the scalar curvature is improved. Title changed