Add to ORKGABSTRACT. 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 under integral pinching assumptions on the curvature, and characterize the equality case. In particular, we reprove and extend to higher degrees and higher dimensions a number of integral pinching results obtained by M. Gursky for four-dimensional closed manifolds. 1
We sharpen Gromov's well-known and surprising result that any smooth open manifold M admits (general...
In the present paper some properties of the sectional curvature of a compact complete Riemannian man...
This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required asp...
International audienceIn this article, we generalize the classical Bochner-Weitzenböck theorem for m...
International audienceIn a previous paper, we proved a number of optimal rigidity results for Rieman...
In questa tesi studiamo alcuni problemi di "pinching" in geometria riemanniana. In particolare si di...
We investigate the geometry and topology of submanifolds under a sharp pinching condition involving ...
We study fourth-order geometric flows on compact Riemannian manifolds, which naturally appear as gra...
On étudie des flots géométriques d'ordre quatre sur des variétés riemanniennes compactes, qui appara...
The main purpose of this article is to construct inequalities between a main intrinsic invariant (th...
In this thesis we show that all of the Eschenburg spaces of positive curvature have their pinching b...
In this thesis we show that all of the Eschenburg spaces of positive curvature have their pinching b...
Abstract. In this note we characterize compact hypersurfaces of dimension n ≥ 2 with constant mean c...
AbstractIn this paper, we proved the Normal Scalar Curvature Conjecture and the Böttcher–Wenzel Conj...
We sharpen Gromov's well-known and surprising result that any smooth open manifold M admits (general...
We sharpen Gromov's well-known and surprising result that any smooth open manifold M admits (general...
In the present paper some properties of the sectional curvature of a compact complete Riemannian man...
This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required asp...
International audienceIn this article, we generalize the classical Bochner-Weitzenböck theorem for m...
International audienceIn a previous paper, we proved a number of optimal rigidity results for Rieman...
In questa tesi studiamo alcuni problemi di "pinching" in geometria riemanniana. In particolare si di...
We investigate the geometry and topology of submanifolds under a sharp pinching condition involving ...
We study fourth-order geometric flows on compact Riemannian manifolds, which naturally appear as gra...
On étudie des flots géométriques d'ordre quatre sur des variétés riemanniennes compactes, qui appara...
The main purpose of this article is to construct inequalities between a main intrinsic invariant (th...
In this thesis we show that all of the Eschenburg spaces of positive curvature have their pinching b...
In this thesis we show that all of the Eschenburg spaces of positive curvature have their pinching b...
Abstract. In this note we characterize compact hypersurfaces of dimension n ≥ 2 with constant mean c...
AbstractIn this paper, we proved the Normal Scalar Curvature Conjecture and the Böttcher–Wenzel Conj...
We sharpen Gromov's well-known and surprising result that any smooth open manifold M admits (general...
We sharpen Gromov's well-known and surprising result that any smooth open manifold M admits (general...
In the present paper some properties of the sectional curvature of a compact complete Riemannian man...
This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required asp...