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A remark on the metric dimension in Riemannian manifolds of constant curvature [PDF]

AUT Journal of Mathematics and Computing
We compute the metric dimension of Riemannian manifolds of constant curvature. We define the edge weghited metric dimension of the geodesic graphs in Riemannian manifolds and we show that each complete geodesic graph $G=(V,E)$ embedded in a Riemannian ...
Shiva Heidarkhani Gilani, Reza Mirzaie, Ebrahim Vatandoost   +2 more
doaj   +1 more source

Pairs of Associated Yamabe Almost Solitons with Vertical Potential on Almost Contact Complex Riemannian Manifolds

Mathematics, 2023
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are, in principle, equipped with a pair of mutually associated pseudo-Riemannian metrics. Each of these metrics is specialized as a Yamabe almost soliton with a
Mancho Manev
doaj   +1 more source

On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. I [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
The problem of establishing links between the curvature and the topological structure of a manifold is one of the important problems of geometry. In general, the purpose of the research of manifolds of various types is rather complicated.
Natal’ya Pavlovna Mozhey
doaj   +1 more source

Ricci Solitons on Riemannian Hypersurfaces Generated by Torse-Forming Vector Fields in Riemannian and Lorentzian Manifolds

Axioms
In this paper, we examine torse-forming vector fields to characterize extrinsic spheres (that is, totally umbilical hypersurfaces with nonzero constant mean curvatures) in Riemannian and Lorentzian manifolds.
Norah Alshehri, Mohammed Guediri
doaj   +1 more source

Low Dimensional Flat Manifolds with Some Elasses of Finsler Metric

پژوهش‌های ریاضی, 2020
Introduction An -dimensional Riemannian manifold  is said to be flat (or locally Euclidean) if  locally isometric with the Euclidean space, that is,  admits a covering of coordinates neighborhoods each of which is isometric with a Euclidean domain.
Sedigheh Alavi Endrajemi, Mehdi Rafie-Rad   +1 more
doaj  

A Geometry Preserving Kernel over Riemannian Manifolds [PDF]

Journal of Artificial Intelligence and Data Mining, 2018
- Kernel trick and projection to tangent spaces are two choices for linearizing the data points lying on Riemannian manifolds. These approaches are used to provide the prerequisites for applying standard machine learning methods on Riemannian manifolds ...
Kh. Sadatnejad, S. Shiry Ghidari, M. Rahmati   +2 more
doaj   +1 more source

Fast Sequential Clustering in Riemannian Manifolds for Dynamic and Time-Series-Annotated Multilayer Networks

IEEE Open Journal of Signal Processing, 2021
This work exploits Riemannian manifolds to build a sequential-clustering framework able to address a wide variety of clustering tasks in dynamic multilayer (brain) networks via the information extracted from their nodal time-series.
Cong Ye, Konstantinos Slavakis, Johan Nakuci, Sarah F. Muldoon, John Medaglia   +4 more
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The Proximal Gradient Method for Composite Optimization Problems on Riemannian Manifolds

Mathematics
In this paper, the composite optimization problem is studied on Riemannian manifolds. To tackle this problem, the proximal gradient method to solve composite optimization problems is proposed on Riemannian manifolds. Under some reasonable conditions, the
Xiaobo Li
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Seiberg-Witten Equations on Pseudo-Riemannian Spinc Manifolds With Neutral Signature

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
Pseudo-Riemannian spinc manifolds were introduced by Ikemakhen in [7]. In the present work we consider pseudo-Riemannian 4-manifolds with neutral signature whose structure groups are SO+(2; 2).
Değirmenci Nedim, Karapazar Şenay
doaj   +1 more source

On Jacobi-Type Vector Fields on Riemannian Manifolds

Mathematics, 2019
In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen, Sharief Deshmukh, Amira A. Ishan   +2 more
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