Results 41 to 50 of about 276 (126)
On the properties of the projective lie algebras of rigid h-spaces h
, 2020 © 2020, Kazan Federal University. All rights reserved. The five-dimensional pseudo-Riemannian spaces that admit infinitesimal projective transformations were studied.
Aminova A.V., Khakimov D.R.
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On Conditions for Sub-Riemannian Metrics to Admit the Product Structure [PDF]
, 2023 The classical result of Eisenhart states that if a Riemannian metric g admits a Riemanian met-ric that is not constantly proportional to g and has the same (parameterized) geodesics as g in a neighborhood of a given point, then g is a direct product of ...
Lin, Zaifeng
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Separability and Symmetry Operators for Painlevé Metrics and their Conformal Deformations
, 2019 42 pagesInternational audiencePainlevé metrics are a class of Riemannian metrics which generalize the well-known separable metrics of Stäckel to the case in which the additive separation of variables for the Hamilton-Jacobi equation is achieved in terms ...
Kamran, Niky +2 more
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Phase singularities in isotropic random waves [PDF]
, 2000 The singularities of complex scalar waves are their zeros; these are dislocation lines in space, or points in the plane. For waves in space, and waves in the plane (propagating in two dimensions, or sections of waves propagating in three), we calculate ...
Dennis, MR +5 more
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Geometric Linearization for Constraint Hamiltonian Systems
This study investigates the geometric linearization of constraint Hamiltonian systems using the Jacobi metric and the Eisenhart lift. We establish a connection between linearization and maximally symmetric spacetimes, focusing on the Noether symmetries ...
Andronikos Paliathanasis
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Block diagonalisation of four-dimensional metrics
, 2009 It is shown that, in 4-dimensions, it is possible to introduce coordinates so that an analytic metric locally takes block diagonal form. i.e. one can find coordinates such that g = 0 for (, ) 2 S where S = {(1, 3), (1, 4), (2, 3), (2, 4)}.
Vickers, J.A. +3 more
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Surfaces of characteristic curvature [PDF]
, 1974 summary:The paper presents the deduction of the equations of surfaces between the principal curvatures of which the defined relation is valid. This relation represents the characteristic curvature of the surface.
Fiřt, Vladimír
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Linearization of newton’s second law
The geometric linearization of nonlinear differential equation is a robust method for the construction of analytic solutions. The method is related to the existence of Lie symmetries which can be used to determine point transformations such that to ...
Paliathanasis, Andronikos
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Statistical Uncertainty in Paleoclimate Proxy Reconstructions. [PDF]
Geophys Res Lett, 2021 McClelland HLO +4 more
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Projective Group Properties of h-Spaces of Type {221}
, 2019 © 2019, Allerton Press, Inc. The curvature of a 5-dimensional h-space H221 of the type {221} [3] is investigated, necessary and sufficient conditions are obtained for H221 to be a space of constant curvature K (Theorem 1).
Aminova A., Khakimov D.
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