Results 1 to 10 of about 7,754 (304)
Products of Hyperbolic Metric Spaces [PDF]
Geometriae Dedicata, 2003 17 ...
Foertsch, T, Schroeder, Viktor
exaly +7 more sources
Hyperbolic Metric Spaces and Stochastic Embeddings [PDF]
Forum of Mathematics, SigmaStochastic embeddings of finite metric spaces into graph-theoretic trees have proven to be a vital tool for constructing approximation algorithms in theoretical computer science.
Chris Gartland
doaj +5 more sources
A Gromov Hyperbolic Metric vs the Hyperbolic and Other Related Metrics [PDF]
Computational Methods and Function Theory, 2018 20 pages, submitted to a ...
Manas Mohapatra, Swadesh Kumar Sahoo
exaly +3 more sources
Hypergeometric Functions and Hyperbolic Metric
Computational Methods and Function Theory, 2008 We obtain new inequalities for certain hypergeometric functions. Using these inequalities, we deduce estimates for the hyperbolic metric and the induced distance function on a certain canonical hyperbolic plane domain.
Matti Vuorinen +2 more
exaly +4 more sources
Ricci-Bourguignon flow on an open surface [PDF]
Journal of Mahani Mathematical Research, 2023 In this paper, we investigate the normalized Ricci-Bourguignon flow with incomplete initial metric on an open surface. We show that such a flow converges exponentially to a metric with constant Gaussian curvature if the initial metric is suitable.
Shahroud Azami
doaj +1 more source
Boundary metrics on soliton moduli spaces
Journal of High Energy Physics, 2022 The geodesic approximation is a powerful method for studying the dynamics of BPS solitons. However, there are systems, such as BPS monopoles in three-dimensional hyperbolic space, where this approach is not applicable because the moduli space metric ...
Paul Sutcliffe
doaj +1 more source
Quasi–Hyperbolically Symmetric γ-Metric
Entropy, 2023 We carry out a systematic study on the motion of test particles in the region inner to the naked singularity of a quasi–hyperbolically symmetric γ-metric. The geodesic equations are written and analyzed in detail. The obtained results are contrasted with the corresponding results obtained for the axially symmetric γ-metric, and the hyperbolically ...
Luis Herrera +3 more
openaire +5 more sources
Hyperbolic normal almost contactmetric hypersurfaces in Euclidean 4-dimensional space
Lietuvos Matematikos Rinkinys, 2005 In Euclidean 4-dimensional space, all hyper surfaces with normal almost contact metric structure of hyperbolic type as well as hyperbolic Sasakian structure are found.
Angelė Baškienė
doaj +3 more sources
A hyperbolic analogue of the Atiyah-Hitchin manifold
Journal of High Energy Physics, 2022 The Atiyah-Hitchin manifold is the moduli space of parity inversion symmetric charge two SU(2) monopoles in Euclidean space. Here a hyperbolic analogue is presented, by calculating the boundary metric on the moduli space of parity inversion symmetric ...
Paul Sutcliffe
doaj +1 more source
Boundaries of hyperbolic metric spaces [PDF]
Pacific Journal of Mathematics, 2005 We investigate the relationship between the metric boundary and the Gromov boundary of a hyperbolic metric space. We show that the Gromov boundary is a quotient topological space of the metric boundary, and that therefore a word-hyperbolic group has an amenable action on the metric boundary of its Cayley graph.
Webster, Corran, Winchester, Adam
openaire +3 more sources