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arXiv · hep-th/0305231

Compact Einstein Spaces based on Quaternionic Kähler Manifolds

Mitsuo Hiragane·Yukinori Yasui·Hideki Ishihara
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Abstract

We investigate the Einstein equation with a positive cosmological constant for $4n+4$-dimensional metrics on bundles over Quaternionic Kähler base manifolds whose fibers are 4-dimensional Bianchi IX manifolds. The Einstein equations are reduced to a set of non-linear ordinary differential equations. We numerically find inhomogeneous compact Einstein spaces with orbifold singularity.

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Mitsuo Hiragane, Yukinori Yasui, Hideki Ishihara. 2003-05-27. Compact Einstein Spaces based on Quaternionic Kähler Manifolds. https://doi.org/10.1088/0264-9381%2F20%2F18%2F307

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