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

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

2008-09-04

arxiv.org/abs/0809.0855v2

Journal of Geometric Analysis, vol. 19 (2009), no. 2, pp. 301-357

Mathematics

Differential Geometry

47 pages; a reference and a grant number were added

Scientific paper

10.1007/s12220-008-9066-3

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 Diaz-Ramos, Garcia-Rio and
Vazquez-Lorenzo (2006).

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