5 citations · 15 across the 19 of their papers we have counts for
20 papers
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…
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…
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…
On a stratification of positive scalar curvature compact manifolds
Mohammed Larbi Labbi
For a compact PSC Riemannian -manifold , the metric constant is defined to be the infinimum over of the spectral scalar curva…
On modified Einstein tensors and two smooth invariants of compact manifolds
Mohammed Larbi Labbi
Let be a Riemannian -manifold, we denote by $\Ric$ and $\Scal$ the Ricci and the scalar curvatures of . For scalars , the modified Einstein tensors denoted $\Ein…
On the conformal Ein invariants
Mohammed Larbi Labbi
For a compact Riemannian -manifold of positive scalar curvature, the capital $\Ein$ invariant of is defined to be the infinimum over of the quotient of the scala…