In this paper, we prove a cocycle version of marked length spectrum rigidity. There are two consequences. The first is marked length pattern rigidity for arithmetic hyperbolic locally symmetric manifolds. The second is strengthen marked length spectrum rigidity for surfaces and closed locally symmetric manifolds.Comment: Some typos are fiex
A Riemannian manifold is said to be rigid if the length of periodic geodesics (in the case of a clos...
The systole of a Riemannian manifold is the minimal length of a non-contractible closed geodesic loo...
In this article, we generalize Eberlein’s Rigidity Theorem to the singular case, namely, one of the ...
The purpose of this article is to produce effective versions of some rigidity results in algebra and...
We consider a coarse version of the marked length spectrum rigidity: given a group with two left inv...
In this thesis, we prove several results concerning the geodesic geometry of arithmetic orbifolds. T...
In this thesis, we discuss various rigidity results for geodesic length spaces that are not Riemanni...
Abstract. We outline Otal’s proof of marked length spectrum rigidity for negatively curved surfaces....
This article is the second in a series of two whose aim is to extend a recent result of Guillarmou-L...
This dissertation explores the extent to which lengths of closed geodesics on a Riemannian manifold ...
In this article we investigate when the set of primitive geodesic lengths on a Riemannian manifold h...
We study scalar curvature deformation for asymptotically locally hyperbolic (ALH) manifolds with non...
This paper is the second in a series of two articles whose aim is to extend a recent result of Guill...
Une variété riemannienne est dite rigide lorsque la longueur des géodésiques périodiques (cas d...
The marked length spectrum (MLS) of a closed negatively curved manifold $(M, g)$ is known to determi...
A Riemannian manifold is said to be rigid if the length of periodic geodesics (in the case of a clos...
The systole of a Riemannian manifold is the minimal length of a non-contractible closed geodesic loo...
In this article, we generalize Eberlein’s Rigidity Theorem to the singular case, namely, one of the ...
The purpose of this article is to produce effective versions of some rigidity results in algebra and...
We consider a coarse version of the marked length spectrum rigidity: given a group with two left inv...
In this thesis, we prove several results concerning the geodesic geometry of arithmetic orbifolds. T...
In this thesis, we discuss various rigidity results for geodesic length spaces that are not Riemanni...
Abstract. We outline Otal’s proof of marked length spectrum rigidity for negatively curved surfaces....
This article is the second in a series of two whose aim is to extend a recent result of Guillarmou-L...
This dissertation explores the extent to which lengths of closed geodesics on a Riemannian manifold ...
In this article we investigate when the set of primitive geodesic lengths on a Riemannian manifold h...
We study scalar curvature deformation for asymptotically locally hyperbolic (ALH) manifolds with non...
This paper is the second in a series of two articles whose aim is to extend a recent result of Guill...
Une variété riemannienne est dite rigide lorsque la longueur des géodésiques périodiques (cas d...
The marked length spectrum (MLS) of a closed negatively curved manifold $(M, g)$ is known to determi...
A Riemannian manifold is said to be rigid if the length of periodic geodesics (in the case of a clos...
The systole of a Riemannian manifold is the minimal length of a non-contractible closed geodesic loo...
In this article, we generalize Eberlein’s Rigidity Theorem to the singular case, namely, one of the ...