Stanilov-Tsankov-Videv Theory

2007/08/31 by Miguel Brozos‐Vázquez, M. Brozos-Vazquez, B. Fiedler +7
Mathematics · #Advanced Algebra and Geometry #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53B20

paper · pdf · doi:10.3842/sigma.2007.095

published as SIGMA 3 (2007), 095, 13 pages · This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

arxiv created 2007/09/28 · openalex publication_date 2007/09/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Jacobi--Tsankov manifolds which are not 2-step nilpotent
• Four-dimensional Riemannian manifolds with commuting higher order Jacobi operators
• Puffini-Videv Models and Manifolds
• The spectral geometry of the Weyl conformal tensor