 

Selman Akbulut and Mustafa Kalafat
A class of locally conformally flat 4manifolds view print


Published: 
October 6, 2012 
Keywords: 
Locally conformally flat metrics, Kleinian groups, scalar curvature, handlebody theory 
Subject: 
58D27, 58A05, 57R65 


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


Acknowledgements
The first named author is partially supported by NSF grant DMS 9971440


Author information
Selman Akbulut:
Mathematics Department, Michigan State University, East Lansing, MI 48824
akbulut@math.msu.edu
Mustafa Kalafat:
Mathematics Department, University of Wisconsin at Madison
Current Address: Tunceli \" Universitesi, Bilgisayar M\" uhendisli\v gi B\" ol\" um\" u, Turkia.
kalafg@gmail.com

