Results 21 to 30 of about 12,537 (310)
Some aspects of Isbell-convex quasi-metric spaces
Applied General Topology, 2018 We introduce and investigate the concept of geodesic bicombing in T0-quasi-metric spaces. We prove that any Isbell-convex T0-quasi-metric space admits a geodesic bicombing which satisfies the equivariance property.
Olivier Olela Otafudu
doaj +1 more source
Asymptotic behavior of resolvents of equilibrium problems on complete geodesic spaces
Demonstratio Mathematica, 2023 In this article, we discuss equilibrium problems and their resolvents on complete geodesic spaces. In particular, we consider asymptotic behavior and continuity of resolvents with positive parameter in a complete geodesic space whose curvature is bounded
Kimura Yasunori, Shindo Keisuke
doaj +1 more source
On quasihyperbolic geodesics in Banach spaces
Annales Academiae Scientiarum Fennicae Mathematica, 2014 14 pages, 4 ...
Talponen, Jarno, Rasila, Antti
openaire +6 more sources
Quantum lump dynamics on the two-sphere [PDF]
, 2013 It is well known that the low-energy classical dynamics of solitons of Bogomol'nyi type is well approximated by geodesic motion in M_n, the moduli space of static n-solitons.
Krusch, Steffen
core +1 more source
Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space
Abstract and Applied Analysis, 2022 In this paper, we first introduce two new notions of uniform convexity on a geodesic space, and we prove their properties. Moreover, we reintroduce a concept of the set-convergence in complete geodesic spaces, and we prove a relation between the metric ...
Yasunori Kimura, Shuta Sudo
doaj +1 more source
Moduli Spaces of Lumps on Real Projective Space [PDF]
, 2015 Harmonic maps that minimize the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions on real projective space are explicitly given by rational maps subject to a certain symmetry requirement.
Muhamed, Abera A +3 more
core +1 more source
The Geodesic Problem in Quasimetric Spaces [PDF]
Journal of Geometric Analysis, 2009 In this article, we study the geodesic problem in a generalized metric space, in which the distance function satisfies a relaxed triangle inequality $d(x,y)\leq σ(d(x,z)+d(z,y))$ for some constant $σ\geq 1$, rather than the usual triangle inequality. Such a space is called a quasimetric space. We show that many well-known results in metric spaces (e.g.
openaire +3 more sources
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
openaire +2 more sources
Construction of Developable Surface with Geodesic or Line of Curvature Coordinates
Journal of New Theory, 2021 In this paper, a developable surface with geodesic or line of curvature coordinates is constructed in the Euclidean 3-space. A developable surface is coordinated by two families of parametric curves, base curves (directrices) and lines (rulings).
Nabil Althibany
doaj +1 more source
Isotropic Lagrangian Submanifolds in Complex Space Forms [PDF]
Journal of Sciences, Islamic Republic of Iran, 2012 In this paper we study isotropic Lagrangian submanifolds , in complex space forms . It is shown that they are either totally geodesic or minimal in the complex projective space , if . When , they are either totally geodesic or minimal in .
M.B. Kashani
doaj