Conformally Osserman manifolds and self-duality in Riemannian geometry
Blazic, Novica ; Gilkey, Peter
arXiv, 0504498 / Harvested from arXiv
Text on arXiv
We study the spectral geometry of the conformal Jacobi operator on a 4-dimensional Riemannian manifold (M,g). We show that (M,g) is conformally Osserman if and only if (M,g) is self-dual or anti self-dual. Equivalently, this means that the curvature tensor of (M,g) is given by a quaternionic structure, at least pointwise.
Publié le : 2005-04-25
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53B20 
@article{0504498,
     author = {Blazic, Novica and Gilkey, Peter},
     title = {Conformally Osserman manifolds and self-duality in Riemannian geometry},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0504498}
}

Blazic, Novica; Gilkey, Peter. Conformally Osserman manifolds and self-duality in Riemannian geometry. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504498/