Results 61 to 70 of about 1,380,597 (301)

Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds

open access: yesJournal of Function Spaces and Applications, 2013
We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion ...
Yılmaz Gündüzalp
doaj   +1 more source

Anisotropically Weighted and Nonholonomically Constrained Evolutions on Manifolds

open access: yesEntropy, 2016
We present evolution equations for a family of paths that results from anisotropically weighting curve energies in non-linear statistics of manifold valued data. This situation arises when performing inference on data that have non-trivial covariance and
Stefan Sommer
doaj   +1 more source

On causality violation in Lyra Geometry

open access: yes, 2018
In this paper the causality issues are discussed in a non-Riemannian geometry, called Lyra geometry. It is a non-Riemannian geometry originated from Weyl geometry.
Jesus, W. D. R., Santos, A. F.
core   +1 more source

Riemannian geometry for EEG-based brain-computer interfaces; a primer and a review

open access: yes, 2017
Despite its short history, the use of Riemannian geometry in brain-computer interface (BCI) decoding is currently attracting increasing attention, due to accumulating documentation of its simplicity, accuracy, robustness and transfer learning ...
M. Congedo, A. Barachant, R. Bhatia
semanticscholar   +1 more source

The Geometry of Riemannian Curvature Radii

open access: yesJournal of Dynamical and Control Systems, 2023
AbstractWe study the geometric structures associated with curvature radii of curves with values on a Riemannian manifold (M, g). We show the existence of sub-Riemannian manifolds naturally associated with the curvature radii and we investigate their properties. In the particular case of surfaces these sub-Riemannian structures are of Engel type.
openaire   +2 more sources

Geometry of Manifolds and Applications

open access: yesMathematics
This editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their ...
Adara M. Blaga
doaj   +1 more source

Warped Poisson Brackets on Warped Products [PDF]

open access: yes, 2015
In this paper, we generalize the geometry of the product pseudo-Riemannian manifold equipped with the product Poisson structure (\cite{Nas2}) to the geometry of a warped product of pseudo-Riemannian manifolds equipped with a warped Poisson structure.
Amrane, Yacine Aït   +2 more
core   +1 more source

The Information Geometry of Sensor Configuration

open access: yesSensors, 2021
In problems of parameter estimation from sensor data, the Fisher information provides a measure of the performance of the sensor; effectively, in an infinitesimal sense, how much information about the parameters can be obtained from the measurements ...
Simon Williams   +3 more
doaj   +1 more source

Cyclic homogeneous Riemannian manifolds [PDF]

open access: yes, 2014
In spin geometry, traceless cyclic homogeneous Riemannian manifolds equipped with a homogeneous spin structure can be viewed as the simplest manifolds after Riemannian symmetric spin spaces. In this paper, we give some characterizations and properties of
Gadea, P. M.   +2 more
core   +2 more sources

The porous medium equation: Large deviations and gradient flow with degenerate and unbounded diffusion

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
wiley   +1 more source

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