Results 1 to 10 of about 12,062 (222)
Conformal Riemannian Morphisms between Riemannian Manifolds
The Journal of the Indian Mathematical Society, 2022 In this article we introduce conformal Riemannian morphisms. The idea of conformal Riemannian morphism generalizes the notions of isometric immersions, Riemannian submersions, Riemannian maps and conformal Riemannian maps.
Yadav, R. B., Kuppum, Srikanth V.
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On concurrent vector fields on Riemannian manifolds
AIMS Mathematics, 2023 It is shown that the presence of a non-zero concurrent vector field on a Riemannian manifold poses an obstruction to its topology as well as certain aspects of its geometry.
Amira Ishan
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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
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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
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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
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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.
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Mediterranean Journal of Mathematics, 2023 Osserman manifolds are a generalization of locally two-point homogeneous spaces. We introduce $k$-root manifolds in which the reduced Jacobi operator has exactly $k$ eigenvalues. We investigate one-root and two-root manifolds as another generalization of locally two-point homogeneous spaces. We prove that there is no two-root Riemannian manifold of odd
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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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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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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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