Add to ORKGInternational audienceIn 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 article, we use the same integral Bochner technique to extend the results in dimension three. Then, by using the classification of closed three-manifolds with nonnegative scalar curvature and a few topological considerations, we deduce optimal sphere theorems for three-dimensional manifolds with integral pinched curvature
AbstractIn this paper, we proved the Normal Scalar Curvature Conjecture and the Böttcher–Wenzel Conj...
We investigate the compact submanifolds in Riemannian space forms of nonnegative sectional curvature...
Work of D. Stern and Bray-Kazaras-Khuri-Stern provide differential-geometric identities which relate...
International audienceIn this article, we generalize the classical Bochner-Weitzenböck theorem for m...
In questa tesi studiamo alcuni problemi di "pinching" in geometria riemanniana. In particolare si di...
AbstractIn this paper we prove that, under an explicit integral pinching assumption between the L2-n...
ABSTRACT. In this article, we generalize the classical Bochner-Weitzenböck theorem for manifolds sat...
AbstractLet (Mn,g), n⩾3, be a smooth closed Riemannian manifold with positive scalar curvature Rg. T...
We show that every complete non-compact three-manifold with non-negatively pinched Ricci curvature a...
By using Gromov's $\mu$-bubble technique, we show that the $3$-dimensional spherical caps are rigid ...
In this paper, we study the topological rigidity and its relationship with the positivity of scalar ...
In this thesis, we show that a sequence of conformal metrics on a compact n-dimensional Riemannian m...
We show that ten-dimensional closed simply connected positively curved manifolds with isometric effe...
AbstractLet (Mn,g), n⩾3, be a smooth closed Riemannian manifold with positive scalar curvature Rg. T...
This thesis proves rigidity theorems for three-dimensional Riemannian manifolds with scalar curvatur...
AbstractIn this paper, we proved the Normal Scalar Curvature Conjecture and the Böttcher–Wenzel Conj...
We investigate the compact submanifolds in Riemannian space forms of nonnegative sectional curvature...
Work of D. Stern and Bray-Kazaras-Khuri-Stern provide differential-geometric identities which relate...
International audienceIn this article, we generalize the classical Bochner-Weitzenböck theorem for m...
In questa tesi studiamo alcuni problemi di "pinching" in geometria riemanniana. In particolare si di...
AbstractIn this paper we prove that, under an explicit integral pinching assumption between the L2-n...
ABSTRACT. In this article, we generalize the classical Bochner-Weitzenböck theorem for manifolds sat...
AbstractLet (Mn,g), n⩾3, be a smooth closed Riemannian manifold with positive scalar curvature Rg. T...
We show that every complete non-compact three-manifold with non-negatively pinched Ricci curvature a...
By using Gromov's $\mu$-bubble technique, we show that the $3$-dimensional spherical caps are rigid ...
In this paper, we study the topological rigidity and its relationship with the positivity of scalar ...
In this thesis, we show that a sequence of conformal metrics on a compact n-dimensional Riemannian m...
We show that ten-dimensional closed simply connected positively curved manifolds with isometric effe...
AbstractLet (Mn,g), n⩾3, be a smooth closed Riemannian manifold with positive scalar curvature Rg. T...
This thesis proves rigidity theorems for three-dimensional Riemannian manifolds with scalar curvatur...
AbstractIn this paper, we proved the Normal Scalar Curvature Conjecture and the Böttcher–Wenzel Conj...
We investigate the compact submanifolds in Riemannian space forms of nonnegative sectional curvature...
Work of D. Stern and Bray-Kazaras-Khuri-Stern provide differential-geometric identities which relate...