Curvature structure of self-dual 4-manifolds

Autor: Blazic, Novica, Gilkey, Peter, Nikcevic, Stana, Stavrov, Iva
Rok vydání: 2008
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1142/S0219887808003259
Popis: We show the existence of a modified Cliff(1,1) structure compatible with an Osserman 0-model of signature (2,2). We then apply this algebraic result to certain classes of pseudo-Riemannian manifolds of signature (2,2). We obtain a new characterization of the Weyl curvature tensor of an (anti-)self-dual manifold and we prove some new results regarding (Jordan) Osserman manifolds.
Databáze: arXiv