Results 51 to 60 of about 195 (142)
Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space
Proceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
wiley +1 more source
A full classification of the isometries of the class of ball‐bodies
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3691-3698, December 2025.Abstract Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball‐bodies, endowed with the Hausdorff metric. ‘Ball‐bodies’ are convex bodies which are intersections of translates of the Euclidean unit ball.
Shiri Artstein‐Avidan +2 more
wiley +1 more source
Boundary representations of locally compact hyperbolic groups
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
wiley +1 more source
Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
wiley +1 more source
Metric Space Recognition by Gromov–Hausdorff Distances to Simplexes
Lobachevskii Journal of Mathematics14 pages, 2 ...
Ivanov, A. O. +2 more
openaire +3 more sources
Potential and challenges of high-speed (4D) body scanning for mobility analysis of firefighter clothing: a methodical case study. [PDF]
EXCLI J, 2023 Muenks D, Kyosev Y, Kunzelmann F.
europepmc +1 more source
Who Invented the Gromov-Hausdorff Distance?
, 2016 One of the most beautiful notions of metric geometry is the Gromov-Hausdorff distance which measures the difference between two metric spaces. To define the distance, let us isometrically embed these spaces into various metric spaces and measure the Hausdorff distance between their images.
openaire +2 more sources
Gromov-Hausdorff Distance for Directed Spaces
Changes have been made in the last part of Section 3.
Fajstrup, Lisbeth +6 more
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Hodge Laplacian of Brain Networks. [PDF]
IEEE Trans Med Imaging, 2023 Anand DV, Chung MK.
europepmc +1 more source
Null Distance and Convergence of Lorentzian Length Spaces. [PDF]
Ann Henri Poincare, 2022 Kunzinger M, Steinbauer R.
europepmc +1 more source