Results 31 to 40 of about 7,179 (171)
Spaces of Geodesic Triangulations of Surfaces [PDF]
Discrete & Computational Geometry, 2022 AbstractWe give a short proof of the contractibility of the space of geodesic triangulations with fixed combinatorial type of a convex polygon in the Euclidean plane. Moreover, for any $$n>0$$ n > 0 , we show that there exists a space
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Unit Ball Graphs on Geodesic Spaces [PDF]
Graphs and Combinatorics, 2020 Consider finitely many points in a geodesic space. If the distance of two points is less than a fixed threshold, then we regard these two points as "near". Connecting near points with edges, we obtain a simple graph on the points, which is called a unit ball graph. If the space is the real line, then it is known as a unit interval graph.
Masamichi Kuroda, Shuhei Tsujie
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Hermitian Spaces in Geodesic Correspondence [PDF]
Proceedings of the American Mathematical Society, 1954 1. Coburn [1] has studied the problem of Hermitian spaces in geodesic correspondence. He found a necessary and sufficient condition for two Kahler spaces to be in geodesic correspondence and showed that such correspondence was impossible between a Kahler space and a Hermitian space. The problem of geodesic correspondence between two Hermitian spaces he
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On quasihyperbolic geodesics in Banach spaces
Annales Academiae Scientiarum Fennicae Mathematica, 2014 14 pages, 4 ...
Talponen, Jarno, Rasila, Antti
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Strongly contracting geodesics in Outer Space [PDF]
Geometry & Topology, 2011 We study the Lipschitz metric on Outer Space and prove that fully irreducible elements of Out(F_n) act by hyperbolic isometries with axes which are strongly contracting. As a corollary, we prove that the axes of fully irreducible automorphisms in the Cayley graph of Out(F_n) are stable, meaning that a quasi-geodesic with endpoints on the axis stays ...
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Boundaries for geodesic spaces
, 2022 For every proper geodesic space $X$ we introduce its quasi-geometric boundary $\partial_{QG}X$ with the following properties: 1. Every geodesic ray $g$ in $X$ converges to a point of the boundary $\partial_{QG}X$ and for every point $p$ in $\partial_{QG}X$ there is a geodesic ray in $X$ converging to $p$, 2.
Dydak, Jerzy, Rashed, Hussain
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Classification results for polyharmonic helices in space forms
Comptes Rendus. MathématiqueWe derive various classification results for polyharmonic helices, which are polyharmonic curves whose geodesic curvatures are all constant, in space forms.
Branding, Volker
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Analysis and Geometry in Metric Spaces, 2016 We consider a ‘contracting boundary’ of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.We topologize this set via the Gromov product, in analogy to the topology of the ...
Cashen Christopher H.
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Some fixed-point theorems for a pair of Reich-Suzuki-type nonexpansive mappings in hyperbolic spaces
Topological Algebra and its Applications, 2023 In this article, we prove some fixed-point results for a pair of Reich-Suzuki-type nonexpansive mappings in uniformly convex WW-hyperbolic spaces. We introduce a new iterative scheme and establish its convergence to the fixed points of a pair of Reich ...
Valappil Sreya Valiya +1 more
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TreeSpider: In‐Canopy Exploration With Tether‐Based Aerial Modular Arms
Advanced Robotics Research, EarlyView.A tethered drone with perching arms and a 360° ring enables unprecedented maneuverability within dense forest canopies. By dynamically adjusting tether length and decoupling pitch from the frame, it navigates between branches, senses multiple trees, and interacts physically with foliage.
Luca Romanello +7 more
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