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New examples of Einstein metrics in dimension four. (English) Zbl 1193.53113
The author aims to construct new examples of Einstein metrics in dimension four. The metric given in [R. Ghanam and G. Thompson, J. Math. Phys. 42, No. 5, 2266–2284 (2001; Zbl 1016.53039)], namely, $$A_{17}$$, leads him to the construction of Einstein metrics. He shows that these Einstein metrics produce $$A_{17}$$ at their two-dimensional holonomy.
##### MSC:
 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C29 Issues of holonomy in differential geometry
##### Keywords:
Einstein metric; Lie algebra; holonomy group
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##### References:
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