Journal of Geometric Analysis

, Volume 19, Issue 2, pp 301–357 | Cite as

Non-Walker Self-Dual Neutral Einstein Four-Manifolds of Petrov Type III

Article
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Abstract

The local structure of the manifolds named in the title is described. Although curvature homogeneous, they are not, in general, locally homogeneous. Not all of them are Ricci-flat, which answers an existence question about type III Jordan-Osserman metrics, raised by Díaz-Ramos, García-Río and Vázquez-Lorenzo (J. Geom. Anal. 16, 39–52, 2006).

Keywords

Curvature-homogeneous neutral Einstein metric Type III Osserman metric 

Mathematics Subject Classification (2000)

53B30 53B05 
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Copyright information

© Mathematica Josephina, Inc. 2009

Authors and Affiliations

  1. 1.Department of MathematicsThe Ohio State UniversityColumbusUSA

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