Conformally Osserman fourdimensional manifolds whose conformal Jacobi operators have complex eigenvalues
Abstract
Conformal Osserman fourdimensional manifolds are studied with special attention to the construction of new examples showing that the algebraic structure of any such curvature tensor can be realized at the differentiable level. As a consequence one gets examples of antiselfdual manifolds whose antiselfdual curvature operator has complex eigenvalues.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 May 2006
 DOI:
 10.1098/rspa.2005.1621
 Bibcode:
 2006RSPSA.462.1425B
 Keywords:

 Jacobi operator;
 Weyl conformal tensor;
 conformally Osserman metric;
 Walker metric;
 selfduality;
 antiselfduality