Results 51 to 60 of about 149 (127)

Gromov hyperbolic spaces and the sharp isoperimetric constant

open access: yesInventiones mathematicae, 2007
In this article we exhibit the largest constant in a quadratic isoperimetric inequality which ensures that a geodesic metric space is Gromov hyperbolic. As a particular consequence we obtain that Euclidean space is a borderline case for Gromov hyperbolicity in terms of the isoperimetric function.
openaire   +3 more sources

Polyhedral Structure of Maximal Gromov Hyperbolic Spaces with Finite Boundary

open access: yesDiscrete & Computational Geometry
The boundary $\partial X$ of a boundary continuous Gromov hyperbolic space $X$ carries a natural Moebius structure on the boundary. For a proper, geodesically complete, boundary continuous Gromov hyperbolic space $X$, the boundary $\partial X$ equipped with its cross-ratio is a particular kind of quasi-metric space, called a quasi-metric antipodal ...
Kingshook Biswas, Arkajit Pal Choudhury
openaire   +2 more sources

The n-Point Condition and Rough CAT(0)

open access: yesAnalysis and Geometry in Metric Spaces, 2013
Buckley Stephen M., Hanson Bruce
doaj   +1 more source

Convex plumbings in closed hyperbolic 4-manifolds. [PDF]

open access: yesGeom Dedic, 2021
Martelli B, Riolo S, Slavich L.
europepmc   +1 more source

Discrete-time gradient flows in Gromov hyperbolic spaces

open access: yesIsrael Journal of Mathematics
Abstract We investigate fundamental properties of the proximal point algorithm for Lipschitz convex functions on (proper, geodesic) Gromov hyperbolic spaces. We show that the proximal point algorithm from an arbitrary initial point can find a point close to a minimizer of the function.
openaire   +2 more sources

Home - About - Disclaimer - Privacy