Compact Einstein spaces based on quaternionic Kähler manifolds

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By this: publisher
In this Subject: Nuclear Physics
By this author: Hiragane M. ;&nbsp; Yasui Y. ;&nbsp; Ishihara H.

Authors: Hiragane M.; Yasui Y.; Ishihara H.

Source: Classical and Quantum Gravity, Volume 20, Number 18, 2003 , pp. 3933-3950(18)

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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 fibres are four-dimensional Bianchi IX manifolds. The Einstein equations are reduced to a set of nonlinear ordinary differential equations. We numerically find inhomogeneous compact Einstein spaces with orbifold singularity.

Language: English

Document Type: Miscellaneous

Publication date: 2003-01-01