Посилання: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.
Підтримка:This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. The research of M. Brozos-V´azquez and of P. Gilkey was partially supported by the Max Planck Institute for Mathematics in the Sciences (Germany) and by Project MTM2006-01432 (Spain). The research of E. Garc´ıa–R´ıo and of R. V´azquez-Lorenzo was partially supported by PGIDIT06PXIB207054PR (Spain). The research of S. Nikˇcevi´c was partially supported by Project 144032 (Serbia). It is a pleasure to acknowledge helpful conversations with C. Dunn, E. Puf fini, and Z. Zhelev concerning these and related matters.
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.