Curvature homogeneous spacelike Jordan Osserman pseudo-Riemannian manifolds
Gilkey, P. ; Nikcevic, S.
arXiv, 0310024 / Harvested from arXiv
Text on arXiv
Let s be at least 2. We construct Ricci flat pseudo-Riemannian manifolds of signature (2s,s) which are not locally homogeneous but whose curvature tensors never the less exhibit a number of important symmetry properties. They are curvature homogeneous; their curvature tensor is modeled on that of a local symmetric space. They are spacelike Jordan Osserman with a Jacobi operator which is nilpotent of order 3; they are not timelike Jordan Osserman. They are k-spacelike higher order Jordan Osserman for $2\le k\le s$; they are k-timelike higher order Jordan Osserman for $s+2\le k\le 2s$, and they are not k timelike higher order Jordan Osserman for $2\le s\le s+1$.
Publié le : 2003-10-02
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  53B20 
@article{0310024,
     author = {Gilkey, P. and Nikcevic, S.},
     title = {Curvature homogeneous spacelike Jordan Osserman pseudo-Riemannian
  manifolds},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310024}
}

Gilkey, P.; Nikcevic, S. Curvature homogeneous spacelike Jordan Osserman pseudo-Riemannian
  manifolds. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310024/