Now showing items 1-6 of 6
Double forms, curvature structures and the (p, q)-curvatures
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 properties are then used to study new Riemannian ...
Manifolds with positive second Gauss-Bonnet curvature
The second Gauss-Bonnet curvature of a Riemannian manifold, denoted h4, is a generalization of the four-dimensional Gauss-Bonnet integrand to higher dimensions. It coincides with the second curvature invariant, which appears ...
On positive isotropic curvature and surgeries
In this paper we give a new proof of Micallef-Wang result concerning the stability of positive isotropic curvature under surgeries in codimension n (n is the dimension of the manifold in question). And we show that this ...
On two natural Riemannian metrics on a tube
During an operation of surgery on a Riemannian manifold and along a given embedded submanifold, (see [1, 2, 3]), one needs to replace the (old) metric induced by the exponential map on a tubular neighborhood of the submanifold ...
Variational properties of the Gauss-Bonnet curvatures
The Gauss-Bonnet curvature of order 2k is a generalization to higher dimensions of the Gauss-Bonnet integrand in dimension 2k, as the scalar curvature generalizes the two dimensional Gauss-Bonnet integrand. In this paper, ...
On compact manifolds with positive isotropic curvature
In this paper we construct new Rieraannian metrics with positive isotropic curvature on compact manifolds which fiber over the circle. We also study the relationship between the positivity of the isotropic curvature and ...