Results 31 to 40 of about 116,829 (327)

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

A Metrizable Topology on the Contracting Boundary of a Group [PDF]

, 2018
The 'contracting boundary' of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space.
Cashen, Christopher H., Mackay, John M.
core   +3 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  

Intrinsic Inference on the Mean Geodesic of Planar Shapes and Tree Discrimination by Leaf Growth [PDF]

, 2010
For planar landmark based shapes, taking into account the non-Euclidean geometry of the shape space, a statistical test for a common mean first geodesic principal component (GPC) is devised.
Huckemann, Stephan
core   +1 more source

On Geodesic Segments in the Infinitesimal Asymptotic Teichmüller Spaces

Journal of Function Spaces, 2015
Let AZ(R) be the infinitesimal asymptotic Teichmüller space of a Riemann surface R of infinite type. It is known that AZ(R) is the quotient Banach space of the infinitesimal Teichmüller space Z(R), where Z(R) is the dual space of integrable quadratic ...
Yan Wu, Yi Qi, Zunwei Fu
doaj   +1 more source

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, Lakshmi Pullasseri, Ajit Srivastava   +2 more
doaj   +1 more source

From curves to currents

Forum of Mathematics, Sigma, 2021
Many natural real-valued functions of closed curves are known to extend continuously to the larger space of geodesic currents. For instance, the extension of length with respect to a fixed hyperbolic metric was a motivating example for the development of
Dídac Martínez-Granado, Dylan P. Thurston   +1 more
doaj   +1 more source

Proximinality in geodesic spaces [PDF]

Abstract and Applied Analysis, 2006
دعXتكون مساحة كاملة من الفئة(0) مع خاصية الامتداد الجيوديسي وانحناء ألكسندروف المحدد أدناه. يتضح أنه إذا كانتC مجموعة فرعية مغلقة منX،فإن مجموعة نقاط Xالتي لها نقطة فريدة فيCهيGδوفئة Baire الثانية فيX.بالإضافة إلى ذلك، إذا كانت C محدودة، فإن مجموعة نقاط Xالتي لها أبعد نقطة فريدة فيCتكون كثيفة فيX.كما يتم تضمين نتيجة تقارب للتعيينات ذات القيمة المحددة.
Anchalee Kaewcharoen, W. A. Kirk
openaire   +4 more sources

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
openaire   +2 more sources