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• W3101885530 abstract "We review the map between hypercomplex manifolds that admit a closed homothetic Killing vector (i.e. conformal hypercomplex manifolds) and quaternionic manifolds of one dimension less. This map is related to a method for constructing supergravity theories using superconformal techniques. An explicit relation between the structure of these manifolds is presented, including curvatures and symmetries. An important role is played by ξ transformations, relating connections on quaternionic manifolds, and a new type [Formula: see text] transformations relating complex structures on conformal hypercomplex manifolds. In this map, the subclass of conformal hyper-Kähler manifolds is mapped to quaternionic-Kähler manifolds." @default.
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• W3101885530 date "2006-09-01" @default.
• W3101885530 modified "2023-10-17" @default.
• W3101885530 title "THE IDENTIFICATION OF CONFORMAL HYPERCOMPLEX AND QUATERNIONIC MANIFOLDS" @default.
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• W3101885530 doi "https://doi.org/10.1142/s0219887806001521" @default.
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