In this paper, we prove a rigidity theorem of asymptotically hyperbolic manifolds only under the assumptions on curvature. Its proof is based on analyzing asymptotic structures of such manifolds at infinity and a volume comparison theorem.Physics, MathematicalSCI(E)12ARTICLE3545-55925
The rigidity of the Riemannian positive mass theorem asserts that the ADM mass of an asymptotically ...
International audienceLet (M, g) be an asymptotically locally hyperbolic (ALH) manifold which is the...
[EN] We present hyperbolic geometry and some of its models, define the concept of a hyperbolic manif...
The Witten spinorial argument has been adapted in several works over the years to prove positivity o...
The Witten spinorial argument has been adapted in several works over the years to prove positivity o...
Abstract. The Witten spinorial argument has been adapted in several works over the years to prove po...
Abstract. The Witten spinorial argument has been adapted in several works over the years to prove po...
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local ...
We use the notion of intrinsic flat distance to address the almost rigidity of the positive mass the...
In this note, we shall generalize Min-Oo’s theorem of scalar curvature rigidity of strongly asymptot...
The landscape of rigidity problems in the finite-volume case appears clear, and hence one starts to ...
In a recent paper Hodgson and Kerckhoff prove a local rigidity theorem for finite volume, three-dime...
Abstract. We prove that a simply-connected complete Riemannian manifold of dimension ≥ 3 whose secti...
Intrinsic nonlinear elasticity deals with the deformations of elastic bodies as isometric immersions...
The Witten spinorial argument has been adapted in several works over the years to prove positivity o...
The rigidity of the Riemannian positive mass theorem asserts that the ADM mass of an asymptotically ...
International audienceLet (M, g) be an asymptotically locally hyperbolic (ALH) manifold which is the...
[EN] We present hyperbolic geometry and some of its models, define the concept of a hyperbolic manif...
The Witten spinorial argument has been adapted in several works over the years to prove positivity o...
The Witten spinorial argument has been adapted in several works over the years to prove positivity o...
Abstract. The Witten spinorial argument has been adapted in several works over the years to prove po...
Abstract. The Witten spinorial argument has been adapted in several works over the years to prove po...
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local ...
We use the notion of intrinsic flat distance to address the almost rigidity of the positive mass the...
In this note, we shall generalize Min-Oo’s theorem of scalar curvature rigidity of strongly asymptot...
The landscape of rigidity problems in the finite-volume case appears clear, and hence one starts to ...
In a recent paper Hodgson and Kerckhoff prove a local rigidity theorem for finite volume, three-dime...
Abstract. We prove that a simply-connected complete Riemannian manifold of dimension ≥ 3 whose secti...
Intrinsic nonlinear elasticity deals with the deformations of elastic bodies as isometric immersions...
The Witten spinorial argument has been adapted in several works over the years to prove positivity o...
The rigidity of the Riemannian positive mass theorem asserts that the ADM mass of an asymptotically ...
International audienceLet (M, g) be an asymptotically locally hyperbolic (ALH) manifold which is the...
[EN] We present hyperbolic geometry and some of its models, define the concept of a hyperbolic manif...
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