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Stanilov–Tsankov–Videv Theory
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: 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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     author = {Miguel Brozos-V\'azquez and Bernd Fiedler and Eduardo Garc{\'\i}a-R{\'\i}o and Peter Gilkey and Stana Nik\v{c}evi\'c and Grozio Stanilov and Yulian Tsankov and Ram\'on V\'azquez-Lorenzo and Veselin Videv},
     title = {Stanilov{\textendash}Tsankov{\textendash}Videv {Theory}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2007},
     volume = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a94/}
}
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Miguel Brozos-Vázquez; Bernd Fiedler; Eduardo García-Río; Peter Gilkey; Stana Nikčević; Grozio Stanilov; Yulian Tsankov; Ramón Vázquez-Lorenzo; Veselin Videv. Stanilov–Tsankov–Videv Theory. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a94/

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