Add to ORKGInternational audienceWe prove that a Riemannian manifold (M, g), close enough to the round sphere in the C4 topology, has uniformly convex injectivity domains so M appears uniformly convex in any exponential chart. The proof is based on the Ma-Trudinger-Wang nonlocal curvature tensor, which originates from the regularity theory of optimal transport
In this paper, I shall demonstrate that sufficiently high-dimensional closed positively-curved Riema...
In this thesis we study three different problems: convex ancient solutions to the power-of-mean curv...
Abstract. To understand compact projectively flat manifolds we study quasi-homogeneous projective do...
Abstract. We prove that a Riemannian manifold (M; g), close enough to the round sphere in the C4 top...
Abstract. Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma–Truding...
Abstract. Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma–Truding...
Abstract. We investigate the properties of the Ma–Trudinger–Wang nonlocal curvature tensor in the ca...
Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma-Trudinger-Wang co...
and convexity of injectivity domains on small deformations of S2 A. Figalli ∗ L. Rifford† Given a co...
International audienceGiven a compact Riemannian manifold, we study the regularity of the optimal tr...
This article addresses regularity of optimal transport maps for cost=“squared distance” on Riemannia...
International audienceWe investigate the properties of the Ma-Trudinger-Wang nonlocal curvature tens...
We consider a convex Euclidean hypersurface that evolves by a volume- or area-preserving flow with s...
In this paper, I shall demonstrate that sufficiently high-dimensional closed positively-curved Riema...
In this thesis we study three different problems: convex ancient solutions to the power-of-mean curv...
Abstract. To understand compact projectively flat manifolds we study quasi-homogeneous projective do...
Abstract. We prove that a Riemannian manifold (M; g), close enough to the round sphere in the C4 top...
Abstract. Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma–Truding...
Abstract. Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma–Truding...
Abstract. We investigate the properties of the Ma–Trudinger–Wang nonlocal curvature tensor in the ca...
Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma-Trudinger-Wang co...
and convexity of injectivity domains on small deformations of S2 A. Figalli ∗ L. Rifford† Given a co...
International audienceGiven a compact Riemannian manifold, we study the regularity of the optimal tr...
This article addresses regularity of optimal transport maps for cost=“squared distance” on Riemannia...
International audienceWe investigate the properties of the Ma-Trudinger-Wang nonlocal curvature tens...
We consider a convex Euclidean hypersurface that evolves by a volume- or area-preserving flow with s...
In this paper, I shall demonstrate that sufficiently high-dimensional closed positively-curved Riema...
In this thesis we study three different problems: convex ancient solutions to the power-of-mean curv...
Abstract. To understand compact projectively flat manifolds we study quasi-homogeneous projective do...