Results 21 to 30 of about 1,198,709 (262)

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

Bicycle paths, elasticae and sub-Riemannian geometry [PDF]

open access: yes, 2020
We relate the sub-Riemannian geometry on the group of rigid motions of the plane to ‘bicycling mathematics’. We show that this geometry’s geodesics correspond to bike paths whose front tracks are either non-inflectional Euler elasticae or straight lines,
A. Ardentov   +4 more
semanticscholar   +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

Decoding multiclass motor imagery EEG from the same upper limb by combining Riemannian geometry features and partial least squares regression

open access: yesJournal of Neural Engineering, 2020
Objective. Due to low spatial resolution and poor signal-to-noise ratio of electroencephalogram (EEG), high accuracy classifications still suffer from lots of obstacles in the context of motor imagery (MI)-based brain-machine interface (BMI) systems ...
Yaqi Chu   +6 more
semanticscholar   +1 more source

Transfer Learning Algorithm of P300-EEG Signal Based on XDAWN Spatial Filter and Riemannian Geometry Classifier

open access: yesApplied Sciences, 2020
The electroencephalogram (EEG) signal in the brain–computer interface (BCI) has suffered great cross-subject variability. The BCI system needs to be retrained before each time it is used, which is a waste of resources and time.
Feng Li   +5 more
semanticscholar   +1 more source

Aspects of global Riemannian geometry [PDF]

open access: goldBulletin of the American Mathematical Society, 1999
In this article we survey some of the developments in Riemannian geometry. We place special emphasis on explaining the relationship between curvature and topology for Riemannian manifolds with lower curvature bounds.
Peter Petersen
openalex   +3 more sources

The Efficacy and Utility of Lower-Dimensional Riemannian Geometry for EEG-Based Emotion Classification

open access: yesApplied Sciences, 2023
Electroencephalography (EEG) signals have diverse applications in brain-computer interfaces (BCIs), neurological condition diagnoses, and emotion recognition across healthcare, education, and entertainment domains.
Zubaidah Al-Mashhadani   +4 more
doaj   +1 more source

Generalized pseudo-Riemannian geometry [PDF]

open access: bronzeTransactions of the American Mathematical Society, 2002
Generalized tensor analysis in the sense of Colombeau’s construction is employed to introduce a nonlinear distributional pseudo-Riemannian geometry. In particular, after deriving several characterizations of invertibility in the algebra of generalized functions, we define the notions of generalized pseudo-Riemannian metric, generalized connection and ...
Michael Kunzinger, Roland Steinbauer
openalex   +6 more sources

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