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Selman Akbulut and Mustafa Kalafat
A class of locally conformally flat 4-manifolds view print
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| Published: |
October 6, 2012 |
| Keywords: |
Locally conformally flat metrics, Kleinian groups, scalar curvature, handlebody theory |
| Subject: |
58D27, 58A05, 57R65 |
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Abstract
We construct infinite families of nonsimply 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 nonsimply connected case.
Besides that the underlying smooth manifolds are
examples of spaces that admit open book decomposition in dimension 4.
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| Acknowledgements
The first named author is partially supported by NSF grant DMS 9971440
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| 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
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