Results 21 to 30 of about 4,006,812 (300)
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
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On quasihyperbolic geodesics in Banach spaces
Annales Academiae Scientiarum Fennicae Mathematica, 2014 14 pages, 4 ...
Rasila Antti +2 more
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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
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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
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Random perturbation to the geodesic equation [PDF]
, 2014 We study random “perturbation” to the geodesic equation. The geodesic equation is identified with a canonical differential equation on the orthonormal frame bundle driven by a horizontal vector field of norm .
Xue-mei Li +3 more
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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.
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GEOMETRIC PROPERTIES OF GEODESIC SPHERES IN A COMPLEX PROJECTIVE SPACE
, 2023 We survey geometric properties of geodesic spheres in a complex projective space. These spheres can be regarded as the simplest examples in the class of all real hypersurfaces isometrically immersed into this projective space.
Maeda, Sadahiro
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Momentum-space gravity from the quantum geometry and entropy of Bloch electrons
Physical Review Research, 2022 Quantum geometry is a key quantity that distinguishes electrons in a crystal from those in the vacuum. Its study continues to provide insights into quantum materials, uncovering new design principles for their discovery.
Tyler B. Smith +2 more
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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
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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
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