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Geodesic Vector Fields on a Riemannian Manifold
Mathematics, 2020 A unit geodesic vector field on a Riemannian manifold is a vector field whose integral curves are geodesics, or in other worlds have zero acceleration. A geodesic vector field on a Riemannian manifold is a smooth vector field with acceleration of each of
Sharief Deshmukh +2 more
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[Detection algorithm of paroxysmal atrial fibrillation with sparse coding based on Riemannian manifold]. [PDF]
Sheng Wu Yi Xue Gong Cheng Xue Za Zhi, 2020 Meng X +5 more
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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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Reconstruction of a Riemannian Manifold from Noisy Intrinsic Distances [PDF]
SIAM Journal on Mathematics of Data Science, 2019 We consider reconstruction of a manifold, or, invariant manifold learning, where a smooth Riemannian manifold $M$ is determined from intrinsic distances (that is, geodesic distances) of points in a discrete subset of $M$.
C. Fefferman +3 more
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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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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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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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