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Showing 2004 · math.DGShow all
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math.DG2004
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…
math.DG2004
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…
math.DG2004
Manifolds with positive second H. Weyl curvature invariant
M. -L. Labbi
The second H. Weyl curvature invariant of a Riemannian manifold, denoted , is the second curvature invariant which appears in the well known tube formula of H. Weyl. It coinci…