Results 1 to 10 of about 4,865,824 (373)

GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES [PDF]

Forum of Mathematics, Sigma, 2014
We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2 and higher is globally well-posed for smooth initial data as well as for ...
MARTINS BRUVERIS, PETER W. MICHOR, DAVID MUMFORD   +2 more
doaj   +2 more sources

An investigation of strong edge geodesic number on m-polar fuzzy environment and its application. [PDF]

PLoS ONE
For crisp graphs, the notion of edge geodesic numbers has been known for a long time. But lately, the focus has shifted to investigating this idea in fuzzy graphs, which has resulted in studies of a number of properties.
Tanmoy Mahapatra, Ebenezer Bonyah, Madhumangal Pal   +2 more
doaj   +2 more sources

Resolvents for Convex Functions on Geodesic Spaces and Their Nonspreadingness [PDF]

Axioms
The convex optimization problems have been considered by many researchers on geodesic spaces. In these problems, the resolvent operators play an important role.
Takuto Kajimura, Yasunori Kimura, Fumiaki Kohsaka   +2 more
doaj   +2 more sources

On geodesic mappings of threesymmetric spaces

Pracì Mìžnarodnogo Geometričnogo Centru
The paper is devoted to the study of properties of pseudo-Riemannian spaces admitting nontrivial geodesic mappings. Necessary and sufficient conditions are found for A-threesymmetric spaces to admit nontrivial geodesic mappings.
Volodymyr Kiosak, Olexandr Prishlyak, Olena Gudyreva   +2 more
doaj   +3 more sources

Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle

Physics, 2021
The classical uncertainty principle inequalities are imposed over the general relativity geodesic equation as a mathematical constraint. In this way, the uncertainty principle is reformulated in terms of proper space–time length element, Planck length ...
David Escors, Grazyna Kochan
doaj   +1 more source

Resolvents of equilibrium problems on a complete geodesic space with curvature bounded above

Carpathian Journal of Mathematics, 2021
We consider equilibrium problems on a complete geodesic space with curvature bounded above by one and propose the notion of resolvents for this problem.
Y. Kimura
semanticscholar   +1 more source

Hypersurfaces With a Common Geodesic Curve in 4D Euclidean space E4

International Journal of Analysis and Applications, 2023
In this paper, we attain the problem of constructing hypersurfaces from a given geodesic curve in 4D Euclidean space E4. Using the Serret–Frenet frame of the given geodesic curve, we express the hypersurface as a linear combination of this frame and ...
Sahar H. Nazra
doaj   +1 more source

On the hyperbolicity of Delaunay triangulations

AIMS Mathematics, 2023
If $ X $ is a geodesic metric space and $ x_1, x_2, x_3\in X $, a geodesic triangle $ T = \{x_1, x_2, x_3\} $ is the union of the three geodesics $ [x_1 x_2] $, $ [x_2 x_3] $ and $ [x_3 x_1] $ in $ X $.
Walter Carballosa, José M. Rodríguez, José M. Sigarreta   +2 more
doaj   +1 more source

Geodesic Learning With Uniform Interpolation on Data Manifold

IEEE Access, 2022
Recently with the development of deep learning on data representation and generation, how to sampling on a data manifold becomes a crucial problem for research.
Cong Geng, Jia Wang, Li Chen, Zhiyong Gao   +3 more
doaj   +1 more source

A Surface Family with a Mutual Geodesic Curve in Galilean 3-Space ${\mathbb{G}}_3$

Mathematics, 2023
This article gives an approach for establishing a surface family with a mutual geodesic curve in Galilean 3-space G3. Given a smooth space curve, we derive the sufficient and necessary condition for the given curve to be geodesic on it.
Awatif Al-Jedani, Rashad A. Abdel-Baky
doaj   +1 more source