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

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作者
Andrzej Derdzinski
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[1] The Ohio State University,Department of Mathematics
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Curvature-homogeneous neutral Einstein metric; Type III Osserman metric; 53B30; 53B05;
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摘要
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).
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页码:301 / 357
页数:56
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