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arXiv · hep-th/0411218

A Note on Einstein Sasaki Metrics in D \ge 7

W. Chen·H. Lu·C. N. Pope·J. F. Vazquez-Poritz
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Abstract

In this paper, we obtain new non-singular Einstein-Sasaki spaces in dimensions D\ge 7. The local construction involves taking a circle bundle over a (D-1)-dimensional Einstein-Kahler metric that is itself constructed as a complex line bundle over a product of Einstein-Kahler spaces. In general the resulting Einstein-Sasaki spaces are singular, but if parameters in the local solutions satisfy appropriate rationality conditions, the metrics extend smoothly onto complete and non-singular compact manifolds.

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W. Chen, H. Lu, C. N. Pope, J. F. Vazquez-Poritz. 2004-11-23. A Note on Einstein Sasaki Metrics in D \ge 7. https://doi.org/10.1088/0264-9381%2F22%2F17%2F004

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