The main goal is to show that the pointwise Osserman four-dimensional pseudo-Riemannian manifolds (Lorentzian and manifolds of neutral signature $(--++)$) can be characterized as self dual (or anti-self dual) Einstein manifolds. Also, examples of pointwise Osserman manifolds which are not Osserman are discussed.
@article{116921, author = {C. Schmidt-Laine and T. K. Edarh-Bossou}, title = {Some results regarding an equation of Hamilton-Jacobi type}, journal = {Archivum Mathematicum}, volume = {035}, year = {1999}, pages = {203-214}, zbl = {1046.35008}, mrnumber = {1725838}, language = {en}, url = {http://dml.mathdoc.fr/item/116921} }
Schmidt-Laine, C.; Edarh-Bossou, T. K. Some results regarding an equation of Hamilton-Jacobi type. Archivum Mathematicum, Tome 035 (1999) pp. 203-214. http://gdmltest.u-ga.fr/item/116921/
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