Self Dual Einstein Orbifolds with Few Symmetries as Quaternion Kaehler Quotients

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.

20 pages

References in corpus (4)

• Toric selfdual Einstein metrics on compact orbifolds
• Cayley 4-frames and a quaternion-Kähler reduction related to Spin(7)
• 3-Sasakian Geometry, Nilpotent Orbits, and Exceptional Quotients
• Positive Self Dual Einstein Orbifolds with One-Dimensional Isometry Group