Results 1  10
of
449
On the inclusion of the quasiconformal Teichmüller space into the lengthspectrum Teichmüller space
, 2012
"... Given a surface of infinite topological type, there are several Teichmüller spaces associated with it, depending on the basepoint and on the point of view that one uses to compare different complex structures. This paper is about the comparison between the quasiconformal Teichmüller space and the ..."
Abstract

Cited by 3 (1 self)
 Add to MetaCart
and the lengthspectrum Teichmüller space. We work under this hypothesis that the basepoint is upperbounded and admits short interior curves. There is a natural inclusion of the quasiconformal space in the lengthspectrum space. We prove that, under the above hypothesis, the image of this inclusion is nowhere
The covering spectrum of a compact length space
 J. Differential Geom
"... We define a new spectrum for compact length spaces and Riemannian manifolds called the “covering spectrum ” which roughly measures the size of the one dimensional holes in the space. More specifically, the covering spectrum is a set of real numbers δ> 0 which identify the distinct δ covers of the ..."
Abstract

Cited by 15 (7 self)
 Add to MetaCart
We define a new spectrum for compact length spaces and Riemannian manifolds called the “covering spectrum ” which roughly measures the size of the one dimensional holes in the space. More specifically, the covering spectrum is a set of real numbers δ> 0 which identify the distinct δ covers
Convergence and the length spectrum
 Adv. Math
"... all k ∈ N is the classical length spectrum. These new length spectra are shown to converge in the sense that limi→ ∞ L 1/k(Mi) ⊂ {0} ∪ L 1/k(M) as Mi → M in the GromovHausdorff sense. Energy methods are introduced to estimate the shortest element of L 1/k, as well as a concept called the minimizi ..."
Abstract

Cited by 8 (6 self)
 Add to MetaCart
all k ∈ N is the classical length spectrum. These new length spectra are shown to converge in the sense that limi→ ∞ L 1/k(Mi) ⊂ {0} ∪ L 1/k(M) as Mi → M in the GromovHausdorff sense. Energy methods are introduced to estimate the shortest element of L 1/k, as well as a concept called
ON A DISTANCE DEFINED BY THE LENGTH SPECTRUM ON TEICHMÜLLER SPACE
 ANNALES ACADEMIAE SCIENTIARUM FENNICAE, VOLUMEN 28, 2003, 315326
, 2003
"... We consider a distance dL on the Teichmü ller space T (S0) of a hyperbolic Riemann surface S0. The distance is defined by the length spectrum of Riemann surfaces in T (S0) and we call it the length spectrum metric on T (S0). It is known that the distance dL determines the same topology as that of ..."
Abstract

Cited by 7 (0 self)
 Add to MetaCart
We consider a distance dL on the Teichmü ller space T (S0) of a hyperbolic Riemann surface S0. The distance is defined by the length spectrum of Riemann surfaces in T (S0) and we call it the length spectrum metric on T (S0). It is known that the distance dL determines the same topology
Hypersurfaces In Teichmüller Space And The Geodesic Length Spectrum
, 1995
"... . We investigate the subset E of Teichmuller space consisting of all surfaces which have at least two closed simple geodesics of the same length. Using elementary methods from the theory of surfaces we show that E is baire meagre but its complement, N , contains no arcs. 1. Introduction Throughout ..."
Abstract
 Add to MetaCart
. We investigate the subset E of Teichmuller space consisting of all surfaces which have at least two closed simple geodesics of the same length. Using elementary methods from the theory of surfaces we show that E is baire meagre but its complement, N , contains no arcs. 1. Introduction Throughout
Coil sensitivity encoding for fast MRI. In:
 Proceedings of the ISMRM 6th Annual Meeting,
, 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
Abstract

Cited by 193 (3 self)
 Add to MetaCart
configurations and kspace sampling patterns. Special attention is given to the currently most practical case, namely, sampling a common Cartesian grid with reduced density. For this case the feasibility of the proposed methods was verified both in vitro and in vivo. Scan time was reduced to onehalf using a two
ON LENGTH SPECTRUM METRICS AND WEAK METRICS ON TEICHMÜLLER SPACES OF SURFACES WITH BOUNDARY
 ANNALES ACADEMIÆ , SCIENTIARUM FENNICÆ MATHEMATICA, VOLUMEN 35, 2010, 255–274
, 2010
"... We define and study natural metrics and weak metrics on the Teichmüller space of a surface of topologically finite type with boundary. These metrics and weak metrics are associated to the hyperbolic length spectrum of simple closed curves and of properly embedded arcs in the surface. We give a comp ..."
Abstract

Cited by 8 (8 self)
 Add to MetaCart
We define and study natural metrics and weak metrics on the Teichmüller space of a surface of topologically finite type with boundary. These metrics and weak metrics are associated to the hyperbolic length spectrum of simple closed curves and of properly embedded arcs in the surface. We give a
ON THE LENGTH SPECTRUMS OF NONCOMPACT RIEMANN SURFACES
 ANNALES ACADEMIÆ SCIENTIARUM FENNICÆ, VOLUMEN 24, 1999, 11–22
, 1999
"... In this paper we prove that the length spectrum metric is topologically equivalent to the Teichmüller metric in Teichmüller space T (g, m, n). This result solved a problem suggested by Sorvali [9] in 1972. ..."
Abstract
 Add to MetaCart
In this paper we prove that the length spectrum metric is topologically equivalent to the Teichmüller metric in Teichmüller space T (g, m, n). This result solved a problem suggested by Sorvali [9] in 1972.
Measurement of Bunch Length Based On Beam Spectrum in The KEKB
 Proc. of EPAC 2000
, 2000
"... An amplitude ratio of two frequency components in the beam spectrum gives the bunch length. It is analytically demonstrated that this technique can detect an rms bunch length under that normalized frequencies are less than 1. Such a bunch length monitor was fabricated for the KEKB. Design, hardware ..."
Abstract

Cited by 5 (2 self)
 Add to MetaCart
An amplitude ratio of two frequency components in the beam spectrum gives the bunch length. It is analytically demonstrated that this technique can detect an rms bunch length under that normalized frequencies are less than 1. Such a bunch length monitor was fabricated for the KEKB. Design, hardware
Results 1  10
of
449