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Subelliptic estimates from Gromov hyperbolicity

Advances in Mathematics, 2022
73 pages.
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, 2015
If $X$ is a geodesic metric space and $x_1,x_2,x_3\in X$, a geodesic triangle $T=\{x_1,x_2,x_3\}$ is the union of the three geodesics $[x_1x_2]$, $[x_2x_3]$ and $[x_3x_1]$ in $X$. The space $X$ is $ $-hyperbolic (in the Gromov sense) if any side of $T$ is contained in a $ $-neighborhood of the union of the two other sides, for every geodesic triangle
Carballosa, Walter +3 more
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The topology of balls and Gromov hyperbolicity of Riemann surfaces

Differential Geometry and its Applications, 2004
Research by first two authors (A.P. and J.M.R.) was partially supported by a grant from DGI (BFM 2000-0022), Spain. Research by third author (E.T.)was supported by a grant from DGI (BFM 2000-0022), Spain.
Ana Portilla, Eva Tourís, José M. Rodríguez +2 more
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Properties of sets of isometries of Gromov hyperbolic spaces [PDF]

Groups, Geometry, and Dynamics, 2018
We prove an inequality concerning isometries of a Gromov hyperbolic metric space, which does not require the space to be proper or geodesic. It involves the joint stable length, a hyperbolic version of the joint spectral radius, and shows that sets of isometries behave like sets of 2 \times 2
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Non-amenability and visual Gromov hyperbolic spaces [PDF]

Groups, Geometry, and Dynamics, 2017
We prove that a uniformly coarsely proper hyperbolic cone over a bounded metric space consisting of a finite union of uniformly coarsely connected components each containing at least two points is non-amenable and apply this to visual Gromov hyperbolic spaces.
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The Reidemeister Number of Any Automorphism of a Gromov Hyperbolic Group is Infinite [PDF]

, 2003
Alexander Fel’shtyn
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Conformal dimension and Gromov hyperbolic groups with 2–sphere boundary [PDF]

, 2005
Mario Bonk, Bruce Kleiner
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THE ROLE OF FUNNELS AND PUNCTURES IN THE GROMOV HYPERBOLICITY OF RIEMANN SURFACES [PDF]