Add to ORKGAbstract. We investigate the properties of the Ma–Trudinger–Wang nonlocal curvature tensor in the case of surfaces. In particular, we prove that a strict form of the Ma–Trudinger–Wang condition is stable under C4 perturbation if the nonfocal domains are uniformly convex; and we present new examples of positively curved surfaces which do not satisfy the Ma–Trudinger–Wang condition. As a corollary of our results, optimal transport maps on a “sufficiently flat ” ellipsoid are in genera
Abstract. Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma–Truding...
We discuss some aspects of the global behavior of surfaces in H2 × R with constant mean curvature H ...
The differential equation of the lines of curvature for immersions of surfaces into ℝ4 is establishe...
Abstract. We investigate the properties of the Ma–Trudinger–Wang nonlocal curvature tensor in the ca...
International audienceWe investigate the properties of the Ma-Trudinger-Wang nonlocal curvature tens...
International audienceWe prove that a Riemannian manifold (M, g), close enough to the round sphere i...
In the literature various notions of nonlocal curvature can be found. Here we propose a notion of no...
AbstractA certain curvature condition, introduced by Ma, Trudinger and Wang in relation with the reg...
Abstract. Counterexamples to continuity of optimal transportation on Rie-mannian manifolds with ever...
In this paper we consider the optimal transportation on Riemannian surfaces when the cost function ...
Abstract. Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma–Truding...
A convex surface contracting by a strictly monotone, homogeneous degree one function of its principa...
The study of stable minimal surfaces in Riemannian 3-manifolds (M, g) with non-negative scalar curva...
We prove that many complete, noncompact, constant mean curvature (CMC) surfaces f: ! R 3 are nondege...
ABSTRACT. We consider compact convex hypersurfaces contracting by functions of their curvature. Unde...
Abstract. Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma–Truding...
We discuss some aspects of the global behavior of surfaces in H2 × R with constant mean curvature H ...
The differential equation of the lines of curvature for immersions of surfaces into ℝ4 is establishe...
Abstract. We investigate the properties of the Ma–Trudinger–Wang nonlocal curvature tensor in the ca...
International audienceWe investigate the properties of the Ma-Trudinger-Wang nonlocal curvature tens...
International audienceWe prove that a Riemannian manifold (M, g), close enough to the round sphere i...
In the literature various notions of nonlocal curvature can be found. Here we propose a notion of no...
AbstractA certain curvature condition, introduced by Ma, Trudinger and Wang in relation with the reg...
Abstract. Counterexamples to continuity of optimal transportation on Rie-mannian manifolds with ever...
In this paper we consider the optimal transportation on Riemannian surfaces when the cost function ...
Abstract. Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma–Truding...
A convex surface contracting by a strictly monotone, homogeneous degree one function of its principa...
The study of stable minimal surfaces in Riemannian 3-manifolds (M, g) with non-negative scalar curva...
We prove that many complete, noncompact, constant mean curvature (CMC) surfaces f: ! R 3 are nondege...
ABSTRACT. We consider compact convex hypersurfaces contracting by functions of their curvature. Unde...
Abstract. Given a smooth nonfocal compact Riemannian manifold, we show that the so-called Ma–Truding...
We discuss some aspects of the global behavior of surfaces in H2 × R with constant mean curvature H ...
The differential equation of the lines of curvature for immersions of surfaces into ℝ4 is establishe...
