Showing math.DGShow all
3 papers · 1 filter
math.DG2026
On some critical Riemannian metrics and Thorpe-type conditions
Mohammed Larbi Labbi
We study critical metrics of higher-order curvature functionals on compact Riemannian -manifolds . For an integer with , let denote the -th…
math.DG2026
Generalized Double Duals of the Riemann Tensor in Geometry and Gravity
Mohammed Larbi Labbi
The Riemann curvature tensor fully encodes local geometry, but its Ricci contraction retains only limited information: only the Ricci tensor and the scalar curvature survive, while…
math.DG2024
Hodge-de Rham and Lichnérowicz Laplacians on double forms and some vanishing theorems
Mohammed Larbi Labbi
A -double form on a Riemannian manifold can be considered simultaneously as a vector-valued differential -form over or alternatively as a vector-valued -fo…