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math.DG2014
A sphere theorem for three dimensional manifolds with integral pinched curvature
Vincent Bour, Gilles Carron
In a previous paper, we proved a number of optimal rigidity results for Riemannian manifolds of dimension greater than four whose curvature satisfy an integral pinching. In this ar…
math.DG2012★ 2 cited
Optimal Integral Pinching Results
Vincent Bour, Gilles Carron
In this article, we generalize the classical Bochner-Weitzenböck theorem for manifolds satisfying an integral pinching on the curvature. We obtain the vanishing of Betti numbers un…
math.DG2010★ 23 cited
Fourth order curvature flows and geometric applications
Vincent Bour
We study a class of fourth order curvature flows on a compact Riemannian manifold, which includes the gradient flows of a number of quadratic geometric functionals, as for instance…