Results 1 to 10 of about 2,910 (192)

Rotation-based metric on the Riemannian manifold of SPD matrices with applications to source data selection for brain-computer interface transfer learning [PDF]

Frontiers in Human Neuroscience
This paper introduces the pole ratio metric and presents a sphere-based view of symmetric positive-definite matrix rotations on the Riemannian manifold of symmetric positive-definite matrices equipped with the affine-invariant Riemannian metric. The pole
Frida Heskebeck, Bo Bernhardsson, Carolina Bergeling   +2 more
doaj   +2 more sources

Robust Covariance Estimators Based on Information Divergences and Riemannian Manifold [PDF]

Entropy, 2018
Xiaoqiang Hua, Yongqiang Cheng, Hongqiang Wang   +2 more
exaly   +2 more sources

Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection

Journal of New Theory, 2021
In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection.
Ramazan Sarı
doaj   +1 more source

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
doaj   +1 more source

Riemannian Hilbert Manifolds [PDF]

, 2017
In this article we collect results obtained by the authors jointly with other authors and we discuss old and new ideas. In particular we discuss singularities of the exponential map, completeness and homogeneity for Riemannian Hilbert quotient manifolds.
Biliotti, Leonardo, Mercuri, Francesco
openaire   +3 more sources

On δ-homogeneous Riemannian manifolds [PDF]

Doklady Mathematics, 2007
We study in this paper previously defined by V.N. Berestovskii and C.P. Plaut $δ$-homogeneous spaces in the case of Riemannian manifolds. Every such manifold has non-negative sectional curvature. The universal covering of any $δ$-homogeneous Riemannian manifolds is itself $δ$-homogeneous.
Berestovskiĭ, V.N., Nikonorov, Yu.G.
openaire   +4 more sources

Heterogeneous Riemannian Manifolds [PDF]

International Journal of Mathematics and Mathematical Sciences, 2010
We solve Ambrose′s Problem for a generic class of Riemannian metrics on a smooth manifold, namely, the class of heterogeneous metrics.
openaire   +2 more sources

On geometry of sub-Riemannian η-Einstein manifolds

Дифференциальная геометрия многообразий фигур, 2019
On a sub-Riemannian manifold of contact type a connection with torsion is considered, called in the work a Ψ-connection. A Ψ-connection is a particular case of an N-connection.
S. Galaev
doaj   +1 more source

Reducing the Dimensionality of SPD Matrices with Neural Networks in BCI

Mathematics, 2023
In brain–computer interface (BCI)-based motor imagery, the symmetric positive definite (SPD) covariance matrices of electroencephalogram (EEG) signals with discriminative information features lie on a Riemannian manifold, which is currently attracting ...
Zhen Peng, Hongyi Li, Di Zhao, Chengwei Pan   +3 more
doaj   +1 more source

On conformal transformations of metrics of Riemannian paracomplex manifolds

Дифференциальная геометрия многообразий фигур, 2021
A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost para­complex manifold. In the present paper, we consider con­formal transformations of metrics of Riemannian para­complex manifolds.
S.E. Stepanov, I. I. Tsyganok , V. Rovenski   +2 more
doaj   +1 more source