Results 61 to 70 of about 4,865,824 (373)

Approximating Solutions of Optimization Problems via Fixed Point Techniques in Geodesic Spaces

Axioms, 2022
The principal objective of this paper is to find the solution to a constrained minimization problem and the zero of the monotone operator in geodesic spaces. The basic tool in our study is a nonexpansive mapping.
Rahul Shukla
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Geodesic spaces of low Nagata dimension [PDF]

Annales Fennici Mathematici, 2020
We show that every geodesic metric space admitting an injective continuous map into the plane as well as every planar graph has Nagata dimension at most two, hence asymptotic dimension at most two.
Martina Jorgensen, U. Lang
semanticscholar   +1 more source

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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Cubic curves and totally geodesic subvarieties of moduli space

, 2017
In this paper we present the rst example of a primitive, totally geodesic subvariety F M g;n with dim(F ) > 1.
C. McMullen, R. E. Mukamel, A. Wright
semanticscholar   +1 more source

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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Computing Geodesic Distances in Tree Space [PDF]

SIAM Journal on Discrete Mathematics, 2009
We present two algorithms for computing the geodesic distance between phylogenetic trees in tree space, as introduced by Billera, Holmes, and Vogtmann (2001).
M. Owen
semanticscholar   +1 more source

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. Mathématique
We 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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