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Rafael Torres
On Einstein metrics, normalized Ricci flow and smooth structures on 3CP2 # k\bar{CP2} view print
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| Published: |
May 28, 2013 |
| Keywords: |
Q-Gorenstein smoothings, surfaces of general type, exotic smooth structures, Einstein metrics |
| Subject: |
Primary 53C25; Secondary 57R55 |
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Abstract
In this paper, first we consider the existence and nonexistence of Einstein metrics on the topological 4-manifolds
3CP2 # k \bar{CP2}, the connected sum of CP2 with both choices of orientation,
by using the idea of Răsdeaconu-Şuvaina, 2009,
and the constructions in Park-Park-Shin, 2013.
Then, we study the existence or nonexistence of nonsingular solutions of the normalized Ricci flow on the exotic smooth structures of these topological manifolds by employing the obstruction developed in Ishida, 2008.
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| Author information
California Institute of Technology -- Mathematics, 1200 E California Blvd, Pasadena, CA 91125
rtorresr@caltech.edu
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