Geometry without topology as a new conception of geometry [PDF]
International 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
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Decoding Multi-Class Motor Imagery and Motor Execution Tasks Using Riemannian Geometry Algorithms on Large EEG Datasets [PDF]
Sensors, 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
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A Riemannian Geometry Theory of Three-Dimensional Binocular Visual Perception [PDF]
Vision, 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
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Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot [PDF]
Pacific Journal of Mathematics for Industry, 2018 The objective of this article is to present the seminal concepts and techniques of Sub-Riemannian geometry and Hamiltonian dynamics, complemented by adapted software to analyze the dynamics of the copepod micro-swimmer, where the model of swimming is the
Bernard Bonnard +3 more
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Dynamic graphs, community detection, and Riemannian geometry [PDF]
Applied 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
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Riemannian Geometry of Noncommutative Surfaces [PDF]
, 2008 A Riemannian geometry of noncommutative n-dimensional surfaces is developed as a first step towards the construction of a consistent noncommutative gravitational theory.
A. Tureanu +7 more
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Pseudo-Riemannian geometry encodes information geometry in optimal transport. [PDF]
Inf Geom, 2022 Wong TL, Yang J.
europepmc +3 more sources
On the geometry of the tangent bundle with gradient Sasaki metric [PDF]
Arab 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
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Weighted Ricci curvature in Riemann-Finsler geometry [PDF]
AUT 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
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Generic Riemannian Maps from Nearly Kaehler Manifolds
Computer 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
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