Symmetry, Integrability and Geometry: Methods and Applications (Sep 2007)
Stanilov-Tsankov-Videv Theory
- Miguel Brozos-Vázquez,
- Bernd Fiedler,
- Eduardo García-Río,
- Peter Gilkey,
- Stana Nikcevic,
- Grozio Stanilov,
- Yulian Tsankov,
- Ramón Vázquez-Lorenzo,
- Veselin Videv
Affiliations
- Miguel Brozos-Vázquez
- Bernd Fiedler
- Eduardo García-Río
- Peter Gilkey
- Stana Nikcevic
- Grozio Stanilov
- Yulian Tsankov
- Ramón Vázquez-Lorenzo
- Veselin Videv
- Journal volume & issue
-
Vol. 3
p. 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
