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7 papers · 1 filter
Remarks on Bianchi sums and Pontrjagin classes
Mohammed Larbi Labbi
We use the exterior and composition products of double forms together with the alternating operator to reformulate Pontrjagin classes and all Pontrjagin numbers in terms of the Rie…
Compact manifolds with positive -curvature
Boris Botvinnik, Mohammed Labbi
The Schouten tensor \ \ of a Riemannian manifold \ provides important scalar curvature invariants , that are the symmetric functions on the eigenvalues of , whe…
Highly connected manifolds of positive -curvature
Boris Botvinnik, Mohammed Labbi
We study and in some cases classify highly connected manifolds which admit a Riemannian metric with positive -curvature. The -curvature was defined and studied by the second…
On Gauss-Bonnet Curvatures
Mohammed Larbi Labbi
The -th Gauss-Bonnet curvature is a generalization to higher dimensions of the -dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for $k=…
Variational Properties of the Gauss-Bonnet Curvatures
Mohammed-Larbi Labbi
The Gauss-Bonnet curvature of order is a generalization to higher dimensions of the Gauss-Bonnet integrand in dimension , as the usual scalar curvature generalizes the two…
Double forms, curvature structures and the -curvatures
M. -L. Labbi
We introduce a natural extension of the metric tensor and the Hodge star operator to the algebra of double forms to study some aspects of the structure of this algebra. These prope…