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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

Invariants for Second Type Almost Geodesic Mappings of Symmetric Affine Connection Space

Mathematics
This paper presents the results concerning a space of invariants for second type almost geodesic mappings. After discussing the general formulas of invariants for mappings of symmetric affine connection spaces, based on these formulas, invariants for ...
Nenad O. Vesić, Dušan J. Simjanović, Branislav M. Randjelović   +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

Geodesics in Jet Space

Regular and Chaotic Dynamics, 2022
The space $J^k$ of $k$-jets of a real function of one real variable $x$ admits the structure of Carnot group type. As such, $J^k$ admits a submetry (\sR submersion) onto the Euclidean plane. Horizontal lifts of Euclidean lines (which are the left-translates of horizontal one-parameter subgroups) are thus globally minimizing geodesics on $J^k$. All $J^k$
Bravo-Doddoli, Alejandro, Montgomery, Richard   +1 more
openaire   +3 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

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

Geodesic complexity for non-geodesic spaces [PDF]

Boletín de la Sociedad Matemática Mexicana, 2021
One major ...
openaire   +2 more sources

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

Fundamental theorems of quasi-geodesic mappings of generalized-recurrent-parabolic spaces

Pracì Mìžnarodnogo Geometričnogo Centru, 2023
In previous papers we studied mappings of pseudo-Riemannian spaces being mutually quasi-geodesic and almost geodesic of the 2nd type. As a result, we arrived at the quasi-geodesic mapping f: (Vn, gij, Fih) → (Vn, gij, Fih) of spaces with an affine ...
Irina Kurbatova, Margaret Pistruil, Nadiia Konovenko   +2 more
doaj   +1 more source