Results 31 to 40 of about 1,086,676 (318)
The configuration space of a robotic arm in a tunnel of width 2 [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We study the motion of a robotic arm inside a rectangular tunnel of width 2. We prove that the configuration space S of all possible positions of the robot is a CAT(0) cubical complex.
Federico Ardila +3 more
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On the geodesic flow on CAT(0) spaces [PDF]
Ergodic Theory and Dynamical Systems, 2019 Under certain assumptions on CAT(0) spaces, we show that the geodesic flow is topologically mixing. In particular, the Bowen–Margulis’ measure finiteness assumption used by Ricks [Flat strips, Bowen–Margulis measures, and mixing of the geodesic flow for rank one CAT(0) spaces. Ergod. Th. & Dynam. Sys. 37 (2017), 939–970] is removed.
Ioannis Papadoperakis +2 more
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Weak topology on CAT(0) spaces
Israel Journal of Mathematics, 2022 We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak topologies.
Lytchak, Alexander, Petrunin, Anton
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Conformal deformations of CAT(0) spaces [PDF]
Mathematische Annalen, 2018 We show that the class of CAT(0) spaces is closed under suitable conformal changes. In particular, any CAT(0) space admits a large variety of non-trivial deformations.
Lytchak, Alexander, Stadler, Stephan
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An Intrinsic Characterization of Five Points in a CAT(0) Space
Analysis and Geometry in Metric Spaces, 2020 Gromov (2001) and Sturm (2003) proved that any four points in a CAT(0) space satisfy a certain family of inequalities. We call those inequalities the ⊠-inequalities, following the notation used by Gromov.
Toyoda Tetsu
doaj +1 more source
On splitting theorems for CAT(0) spaces and compact geodesic spaces of non-positive curvature [PDF]
, 2010 In this paper, we show some splitting theorems for CAT(0) spaces on which a product group acts geometrically and we obtain a splitting theorem for compact geodesic spaces of non-positive curvature.
Hosaka, Tetsuya
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Bulletin of the Belgian Mathematical Society - Simon Stevin, 2017 We extend the Gromov geometric definition of CAT(0) spaces to the case where the comparison triangles are not in the Euclidean plane but belong to a general Banach space. In particular, we study the case where the Banach space is $\ell_p$, for $p > 2$.
Khamsi, M. A., Shukri, S. A.
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IEEE Access, 2020 The aim of this paper is to investigate implicit viscosity iterative algorithm for nonexpansive mappings in the framework of CAT(0) spaces. We prove strong convergence theorems of such algorithm under some suitable assumptions on the sequences of ...
Xingchao Bian +4 more
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A modified iteration for total asymptotically nonexpansive mappings in Hadamard spaces
AIMS Mathematics, 2021 The motive of this paper is to study the convergence analysis of a modified iteration procedure for total asymptotically nonexpansive mapping under some suitable conditions in the setting of CAT(0) spaces.
Izhar Uddin +3 more
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Geometric invariants of spaces with isolated flats [PDF]
, 2004 We study those groups that act properly discontinuously, cocompactly, and isometrically on CAT(0) spaces with isolated flats and the Relative Fellow Traveller Property. The groups in question include word hyperbolic CAT(0) groups as well as geometrically
Hruska, G. Christopher
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