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Geometry without topology as a new conception of geometry [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T-geometric one are considered. T-geometry is built only on the basis of information included in the metric (distance between two points).
Yuri A. Rylov
doaj   +5 more sources

Decoding Multi-Class Motor Imagery and Motor Execution Tasks Using Riemannian Geometry Algorithms on Large EEG Datasets [PDF]

open access: yesSensors, 2023
The use of Riemannian geometry decoding algorithms in classifying electroencephalography-based motor-imagery brain–computer interfaces (BCIs) trials is relatively new and promises to outperform the current state-of-the-art methods by overcoming the noise
Zaid Shuqfa   +2 more
doaj   +2 more sources

A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception [PDF]

open access: yesVision, 2018
We present a Riemannian geometry theory to examine the systematically warped geometry of perceived visual space attributable to the size⁻distance relationship of retinal images associated with the optics of the human eye.
Peter D. Neilson   +2 more
doaj   +2 more sources

Dynamic graphs, community detection, and Riemannian geometry [PDF]

open access: yesApplied Network Science, 2018
A community is a subset of a wider network where the members of that subset are more strongly connected to each other than they are to the rest of the network.
Craig Bakker   +2 more
doaj   +2 more sources

On the geometry of the tangent bundle with gradient Sasaki metric [PDF]

open access: yesArab Journal of Mathematical Sciences, 2023
Purpose – Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the authors introduce a new class of natural metrics denoted by gf and called gradient Sasaki metric on the tangent bundle TM. The authors calculate its Levi-Civita
Lakehal Belarbi, Hichem Elhendi
doaj   +1 more source

Excitonic topology and quantum geometry in organic semiconductors [PDF]

open access: yesNature Communications
Excitons drive the optoelectronic properties of organic semiconductors which underpin devices including solar cells and light-emitting diodes. Here we show that excitons can exhibit topologically non-trivial states protected by inversion symmetry and ...
Wojciech J. Jankowski   +3 more
doaj   +2 more sources

Weighted Ricci curvature in Riemann-Finsler geometry [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2021
Ricci curvature is one of the important geometric quantities in Riemann-Finsler geometry. Together with the $S$-curvature, one can define a weighted Ricci curvature for a pair of Finsler metric and a volume form on a manifold.
Zhongmin Shen
doaj   +1 more source

Generic Riemannian Maps from Nearly Kaehler Manifolds

open access: yesComputer Sciences & Mathematics Forum, 2023
In order to generalise semi-invariant Riemannian maps, Sahin first introduced the idea of “Generic Riemannian maps”. We extend the idea of generic Riemannian maps to the case in which the total manifold is a nearly Kaehler manifold.
Richa Agarwal, Shahid Ali
doaj   +1 more source

Application of the Generalized Bochner Technique to the Study of Conformally Flat Riemannian Manifolds

open access: yesMathematics, 2021
In this article, we discuss the global aspects of the geometry of locally conformally flat (complete and compact) Riemannian manifolds. In particular, the article reviews and improves some results (e.g., the conditions of compactness and degeneration ...
Josef Mikeš   +3 more
doaj   +1 more source

On h-Quasi-Hemi-Slant Riemannian Maps

open access: yesAxioms, 2022
In the present article, we indroduce and study h-quasi-hemi-slant (in short, h-qhs) Riemannian maps and almost h-qhs Riemannian maps from almost quaternionic Hermitian manifolds to Riemannian manifolds. We investigate some fundamental results mainly on h-
Mohd Bilal   +4 more
doaj   +1 more source

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