Results 11 to 20 of about 425,328 (237)
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.
Francesco Mercuri, Leonardo Biliotti
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Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds
AIMS Mathematics, 2021 Some relations involving the qualar and null sectional curvatures for a pseudo Riemannian manifold are obtained. These curvatures are also investigated for pseudo-Riemannian submanifolds.
Mehmet Gülbahar
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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 +3 more
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Separability in Riemannian Manifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton-Jacobi equation of natural Hamiltonian systems.
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Approximation of Densities on Riemannian Manifolds [PDF]
Entropy, 2019 Finding an approximate probability distribution best representing a sample on a measure space is one of the most basic operations in statistics. Many procedures were designed for that purpose when the underlying space is a finite dimensional Euclidean space. In applications, however, such a simple setting may not be adapted and one has to consider data
Le Brigant, Alice, Puechmorel, Stéphane
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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
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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 +2 more
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Cyclic homogeneous Riemannian manifolds [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2015 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 cyclic and traceless cyclic homogeneous Riemannian manifolds and we obtain the classification of ...
Gadea, Pedro M. +2 more
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Kernel Methods on the Riemannian Manifold of Symmetric Positive Definite Matrices [PDF]
2013 IEEE Conference on Computer Vision and Pattern Recognition, 2013 Symmetric Positive Definite (SPD) matrices have become popular to encode image information. Accounting for the geometry of the Riemannian manifold of SPD matrices has proven key to the success of many algorithms.
Sadeep Jayasumana +4 more
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Connections on a non-symmetric (generalized) Riemannian manifold and gravity [PDF]
, 2015 Connections with (skew-symmetric) torsion on a non-symmetric Riemannian manifold satisfying the Einstein metricity condition (non-symmetric gravitation theory (NGT) with torsion) are considered.
S. Ivanov, M. Zlatanovic
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