We use the quaternion Kahler reduction technique to study old and new self-dual Einstein metrics of negative scalar curvature with at least a two-dimensional isometry group, and relate the quotient construction to the hyperbolic eigenfunction Ansatz. We focus in particular on the (semi-) quaternion Kahler quotients of (semi-) quaternion Kahler hyperboloids, analysing the completeness and topology, and relating them to the self-dual Einstein Hermitian metrics of Apostolov - Gauduchon and Bryant.
Toric self-dual Einstein metrics as quotients / Charles P., Boyer; David M. J., Calderbank; Krzysztof, Galicki; Piccinni, Paolo. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 253:2(2005), pp. 337-370. [10.1007/s00220-004-1192-6]
Toric self-dual Einstein metrics as quotients
PICCINNI, Paolo
2005
Abstract
We use the quaternion Kahler reduction technique to study old and new self-dual Einstein metrics of negative scalar curvature with at least a two-dimensional isometry group, and relate the quotient construction to the hyperbolic eigenfunction Ansatz. We focus in particular on the (semi-) quaternion Kahler quotients of (semi-) quaternion Kahler hyperboloids, analysing the completeness and topology, and relating them to the self-dual Einstein Hermitian metrics of Apostolov - Gauduchon and Bryant.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
