The left-invariant contact metric structure on the Sol manifold
Учёные записки Казанского университета: Серия Физико-математические науки, 2020 Among the known eight-dimensional Thurston geometries, there is a geometry of the Sol manifold – a Lie group consisting of real special matrices. For a left-invariant Riemannian metric on the Sol manifold, the left shift group is a maximal simple ...
V.I. Pan’zhenskii, A.O. Rastrepina
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Characterizing Affine Vector Fields on Pseudo-Riemannian Manifolds
AxiomsWe study the characteristics of affine vector fields on pseudo-Riemannian manifolds and provide tensorial formulas that characterize these vector fields.
Norah Alshehri, Mohammed Guediri
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Four-dimensional Riemannian product manifolds with circulant structures
, 2019 A 4-dimensional Riemannian manifold equipped with an additional tensor structure, whose fourth power is the identity, is considered. This structure has a circulant matrix with respect to some basis, i.e.
Dokuzova, Iva
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Degenerate Foliations in Sasakian Semi-Riemannian Manifolds [PDF]
In the Semi-Riemannian case we do not have the liability of the existence of such a metric being a difference from the Riemannian case. A Semi-Riemannian manifold provided with a normal contact metric structure is called Sasakian manifold.Semi-Riemannian,
Catalin Angelo Ioan
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Conformal quasi-hemi-slant $\xi^{\perp}$-Riemannian submersions from Sasakian manifolds [PDF]
Mathematica BohemicaWe introduce some geometric properties of a horizontally conformal quasi-hemi-slant Riemannian submersion from a Sasakian manifold, normal to the characteristic vector field, supported by an example.
Fortuné Massamba, Pontsho Moile
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Isometry groups with radical, and aspherical Riemannian manifolds with large symmetry I
, 2018 Every compact aspherical Riemannian manifold admits a canonical series of orbibundle structures with infrasolv fibers which is called its infrasolv tower. The tower arises from the solvable radicals of isometry group actions on the universal covers.
Baues, Oliver, Kamishima, Yoshinobu
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Adaptive filter with Riemannian manifold constraint. [PDF]
Sci Rep, 2023 Mejia J +3 more
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A study on the combination of functional connection features and Riemannian manifold in EEG emotion recognition. [PDF]
Front Neurosci, 2023 Wu M +5 more
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Uncovering shape signatures of resting-state functional connectivity by geometric deep learning on Riemannian manifold. [PDF]
Hum Brain Mapp, 2022 Dan T +5 more
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Dimensionality Reduction of SPD Data Based on Riemannian Manifold Tangent Spaces and Isometry. [PDF]
Entropy (Basel), 2021 Gao W, Ma Z, Gan W, Liu S.
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