Self Dual Einstein Orbifolds with Few Symmetries as Quaternion Kaehler Quotients

preprint2009arXivOpen access

Abstract

We construct a new family of compact orbifolds with a positive self dual Einstein metric and a one-dimensional group of isometries. Together with another known family, these examples classify all 4-dimensional orbifolds that are quaternion Kaehler quotients by a torus of real Grassmannians.

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