Results 111 to 120 of about 4,807 (127)

Algorithms to automatically quantify the geometric similarity of anatomical surfaces. [PDF]

Proc Natl Acad Sci U S A, 2011
Boyer DM, Lipman Y, St Clair E, Puente J, Patel BA, Funkhouser T, Jernvall J, Daubechies I.   +7 more
europepmc   +1 more source

Coarse extrinsic curvature of Riemannian submanifolds. [PDF]

Eur J Math
Arnaudon M, Li XM, Petko B.
europepmc   +1 more source

Flat tori in three-dimensional space and convex integration. [PDF]

Proc Natl Acad Sci U S A, 2012
Borrelli V, Jabrane S, Lazarus F, Thibert B.   +3 more
europepmc   +1 more source

Gluing constructions for Lorentzian length spaces. [PDF]

Manuscr Math
Beran T, Rott F.
europepmc   +1 more source

Predicting Affinity Through Homology (PATH): Interpretable binding affinity prediction with persistent homology. [PDF]

PLoS Comput Biol
Long Y, Donald BR.
europepmc   +1 more source

On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry [PDF]

Proc Natl Acad Sci U S A, 2012
europepmc   +1 more source

Null distance and Gromov–Hausdorff convergence of warped product spacetimes

General Relativity and Gravitation, 2023
What is the analogous notion of Gromov–Hausdorff convergence for sequences of spacetimes? Since a Lorentzian manifold is not inherently a metric space, one cannot simply use the traditional definition.
Brian Allen
semanticscholar   +4 more sources

Continuity of critical exponent of quasiconvex-cocompact groups under Gromov–Hausdorff convergence [PDF]

Ergodic Theory and Dynamical Systems, 2021
We show continuity under equivariant Gromov–Hausdorff convergence of the critical exponent of discrete, non-elementary, torsion-free, quasiconvex-cocompact groups with uniformly bounded codiameter acting on uniformly Gromov-hyperbolic metric spaces.
Nicola Cavallucci
semanticscholar   +3 more sources

Gromov-Hausdorff convergence of metric spaces of UCP maps

Journal of Geometry and Physics
It is shown that van Suijlekom's technique of imposing a set of conditions on operator system spectral triples ensures Gromov-Hausdorff convergence of sequences of sets of unital completely positive maps (equipped with the BW-topology which is metrizable)
Tirthankar Bhattacharyya, Ritu Duhan, Chandan Pradhan   +2 more
semanticscholar   +4 more sources

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Gromov-Hausdorff convergence to nonmanifolds

The Journal of Geometric Analysis, 1995
We construct sequences of 7-spheres in Gromov-Hausdorff space converging to non-manifolds. The manifolds in these sequences have a common contractibility function. There are two main classes of examples -- examples for which the limit is an infinite dimensional space of finite cohomological dimension and examples for which the limit is a finite ...
Teresa E. Moore
semanticscholar   +3 more sources