Pseudo-Riemannian manifolds with Commuting Jacobi Operators
M. Brozos-Vazquez, P. Gilkey
Abstract
We study the geometry of pseudo-Riemannian manifolds which are Jacobi--Tsankov, i.e. J(x)J(y)=J(y)J(x) for all tangent vectors x and y. We also study manifolds which are 2-step Jacobi nilpotent, i.e. J(x)J(y)=0 for all tangent vectors x and y.
Create a lesson
Related papers
Ricci pinching on complete Kahler manifolds
Gang Liu, Lei Ni
The triangular metric on projective surfaces
León Carvajales, Xian Dai, Beatrice Pozzetti et al.
On the Weyl tube formula for nonlocal perimeters
Serena Dipierro, Jack Thompson, Enrico Valdinoci
Biconservative hypersurfaces in Euclidean Spaces
Hiba Bibi, Marc Soret, Marina Ville
Four-dimensional almost-Einstein manifolds with circulant structures
Iva Dokuzova, Georgi Dzhelepov, Dimitar Razpopov
Optimal Synthesis on the Special Linear Group
Marcus T. C. Lau, Alejandro Bravo-Doddoli