A Note on Einstein Sasaki Metrics in D \ge 7

Details A Note on Einstein Sasaki Metrics in D \ge 7 A Note on Einstein Sasaki Metrics in D \ge 7

2004-11-23

arxiv.org/abs/hep-th/0411218v1

Class.Quant.Grav.22:3421-3430,2005

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 13 pages

Scientific paper

10.1088/0264-9381/22/17/004

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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