Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735169 | Journal of Geometry and Physics | 2005 | 9 Pages |
Abstract
We prove that a symmetric space is Osserman if its complexification is a complex hyper-Kähler symmetric space. This includes all pseudo-hyper-Kähler as well as para-hyper-Kähler symmetric spaces. We extend the classification of pseudo-hyper-Kähler symmetric spaces obtained by the first and the third author to the class of para-hyper-Kähler symmetric spaces. These manifolds are possible targets for the scalars of rigid N=2 supersymmetric field theories with hypermultiplets on four-dimensional space-times with Euclidean signature.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Dmitri V. Alekseevsky, Novica BlažiÄ, Vicente Cortés, Srdjan VukmiroviÄ,