Brozos-Vázquez, Miguel; Fiedler, Bernd; García-Río, Eduardo; Gilkey, Peter; Nikčević, Stana; Stanilov, Grozio; Tsankov, Yulian; Vázquez-Lorenzo, Ramón; Videv, Veselin

Stanilov-Tsankov-Videv theory

SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 095, 13 p., electronic only (2007)

Summary

Summary: We survey some recent results concerning Stanilov-Tsankov-Videv theory, conformal Osserman geometry, and Walker geometry which relate algebraic properties of the curvature operator to the underlying geometry of the manifold.

Mathematics Subject Classification

53B20, N

Keywords/Phrases

algebraic curvature tensor, anti-self-dual, conformal Jacobi operator, conformal Osserman manifold, Jacobi operator, Jacobi-tsankov, Jacobi-videv, mixed-tsankov, Osserman manifold, Ricci operator, self-dual, skew-symmetric curvature operator, skew-tsankov, skew-videv, Walker manifold, Weyl conformal curvature operator

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