Stanilov-Tsankov-Videv Theory

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Authors: Brozos-Vázquez, M., Fiedler, B., García-Río, E., Gilkey, P., Nikcevic, S., Stanilov, G., Tsankov, Y., Vázquez-Lorenzo, R., Videv, V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147206
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Stanilov-Tsankov-Videv Theory / M. Brozos-Vázquez, B. Fiedler, E. García-Río, P. Gilkey, S. Nikcevic, G. Stanilov, Y. Tsankov, R. Vázquez-Lorenzo, V. Videv // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 30 назв. — англ.

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.