We prove prime geodesic theorems counting primitive closed geodesics on acompact hyperbolic 3-manifold with length and holonomy in prescribed intervals,which are allowed to shrink. Our results imply effective equidistribution ofholonomy and have both the rate of shrinking and the strength of the error termfully symmetric in length and holonomy.<br
According to the work by Randol, there exists pairs of closed curves on a surface S for which the ge...
We examine closed geodesics in the quotient of hyperbolic three space by the discrete group of isome...
In 1992, Reid asked whether hyperbolic 3-manifolds with the same geodesic length spectra are necessa...
We prove prime geodesic theorems counting primitive closed geodesics on a compact hyperbolic 3-manif...
An important feature of compact hyperbolic 3-manifolds is their closed geodesics, which have both ge...
For Γ a cofinite Kleinian group acting on H3, we study the prime geodesic theorem on M = Γ\H3, which...
The goal of this thesis is to obtain a weighted first moment of the error term of the approximation ...
Abstract. We exhibit the analogy between prime geodesics on hyperbolic Riemann surfaces and ordinary...
Let Σ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those ...
This thesis is about two questions related to hyperbolic 3-manifolds. The first question arises as a...
Abstract. Taking the integrated Chebyshev-type counting function of the appropriate order, we improv...
In these notes we give as ummary of the main developments in the Prime Geodesic Theorem on hyperboli...
We prove an upper bound for the number of shortest closed geodesics in a closed hyperbolic manifold...
Abstract. For a rank one Lie group G and a Zariski dense and geo-metrically finite subgroup Γ of G, ...
Periodic geodesics on the modular surface correspond to periodic orbits of the geodesic flow in its ...
According to the work by Randol, there exists pairs of closed curves on a surface S for which the ge...
We examine closed geodesics in the quotient of hyperbolic three space by the discrete group of isome...
In 1992, Reid asked whether hyperbolic 3-manifolds with the same geodesic length spectra are necessa...
We prove prime geodesic theorems counting primitive closed geodesics on a compact hyperbolic 3-manif...
An important feature of compact hyperbolic 3-manifolds is their closed geodesics, which have both ge...
For Γ a cofinite Kleinian group acting on H3, we study the prime geodesic theorem on M = Γ\H3, which...
The goal of this thesis is to obtain a weighted first moment of the error term of the approximation ...
Abstract. We exhibit the analogy between prime geodesics on hyperbolic Riemann surfaces and ordinary...
Let Σ be a closed hyperbolic surface. We study, for fixed g, the asymptotics of the number of those ...
This thesis is about two questions related to hyperbolic 3-manifolds. The first question arises as a...
Abstract. Taking the integrated Chebyshev-type counting function of the appropriate order, we improv...
In these notes we give as ummary of the main developments in the Prime Geodesic Theorem on hyperboli...
We prove an upper bound for the number of shortest closed geodesics in a closed hyperbolic manifold...
Abstract. For a rank one Lie group G and a Zariski dense and geo-metrically finite subgroup Γ of G, ...
Periodic geodesics on the modular surface correspond to periodic orbits of the geodesic flow in its ...
According to the work by Randol, there exists pairs of closed curves on a surface S for which the ge...
We examine closed geodesics in the quotient of hyperbolic three space by the discrete group of isome...
In 1992, Reid asked whether hyperbolic 3-manifolds with the same geodesic length spectra are necessa...
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