Self Dual Einstein Orbifolds with Few Symmetries as Quaternion Kaehler Quotients

Details Self Dual Einstein Orbifolds with Few Symmetries as Quaternion Kaehler Quotients Self Dual Einstein Orbifolds with Few Symmetries as Quaternion Kaehler Quotients

2009-01-30

arxiv.org/abs/0901.4913v1

Mathematics

Differential Geometry

20 pages

Scientific paper

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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