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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 095, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.095 (Mi sigma221) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Stanilov–Tsankov–Videv Theory

Miguel Brozos-Vázqueza, Bernd Fiedlerb, Eduardo García-Ríoa, Peter Gilkeyc, Stana Nikčevićd, Grozio Stanilove, Yulian Tsankove, Ramón Vázquez-Lorenzoa, Veselin Videvf

a Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, Santiago de Compostela 15782, Spain
b Eichelbaumstr. 13, D-04249 Leipzig, Germany
c Mathematics Department, University of Oregon, Eugene Oregon 97403-1222, USA
d Mathematical Institute, SANU, Knez Mihailova 35, p.p. 367, 11001 Belgrade, Serbia
e Sofia University "St. Kl. Ohridski", Sofia, Bulgaria
f Mathematics Department, Thracian University, University Campus, 6000 Stara Zagora, Bulgaria
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DOI: https://doi.org/10.3842/SIGMA.2007.095
Abstract: 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.
Received: August 7, 2007; in final form September 22, 2007; Published online September 28, 2007
Bibliographic databases:
Document Type: Article
MSC: 53B20
Language: English
Citation: 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”, SIGMA, 3 (2007), 095, 13 pp.
Citation in format AMSBIB
\Bibitem{BroFieGar07}
\by Miguel Brozos-V\'azquez, Bernd Fiedler, Eduardo Garc{\'\i}a-R{\'\i}o, Peter Gilkey, Stana Nik{\v{c}}evi{\'c}, Grozio Stanilov, Yulian Tsankov, Ram\'on V\'azquez-Lorenzo, Veselin Videv
\paper Stanilov--Tsankov--Videv Theory
\jour SIGMA
\yr 2007
\vol 3
\papernumber 095
\totalpages 13
\mathnet{http://mi.mathnet.ru/sigma221}
\crossref{https://doi.org/10.3842/SIGMA.2007.095}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889234643}
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    • This publication is cited in the following 12 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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