Results 41 to 50 of about 85,217 (188)

Hidden symmetries, the Bianchi classification and geodesics of the quantum geometric ground-state manifolds

SciPost Physics, 2021
We study the Killing vectors of the quantum ground-state manifold of a parameter-dependent Hamiltonian. We find that the manifold may have symmetries that are not visible at the level of the Hamiltonian and that different quantum phases of matter ...
Diego Liska, Vladimir Gritsev
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Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds

Mathematics, 2023
Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures.
Vladimir Rovenski
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Characterizing killing vector fields of standard static space-times [PDF]

, 2012
Cataloged from PDF version of article.We provide a global characterization of the Killing vector fields of a standard static space-time by a system of partial differential equations.
Dobarro, F., Unal, B.
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Conformal Killing Vector Fields of Riemannian Manifolds

Dhaka University Journal of Science, 2022
The main aim of this article to study about vector fields of manifold and how these vector fields will be Killing and Conformal Killing vector fields. Conformal transformation of Weyl rescaling which is conformally related to metrices from g to g, Levi-Civita connection Δ , Lie derivative, torsion with tensor concept of manifold N in a multi-linear map
Md Shapan Miah, Khondokar M Ahmed
openaire   +1 more source

On the Theory of Killing Orbits in Space-Time

, 2003
This paper gives a theoretical discussion of the orbits and isotropies which arise in a space-time which admits a Lie algebra of Killing vector fields.
Abraham R, Bianchi L, Brickell F, Chow W L, Ehlers J, Eisenhart L P, Fubini G, G S Hall, Hall G S, Hall G S, Hall G S, Hall G S, Hall G S, Hall G S, Hall G S, Hall G S, Hall G S, Hermann R, Kobayashi S, Montgomery D, Nomizu K, Petrov A Z, Rendall A D, Shaw R, Stefan P, Stefan P, Stephani H, Sussmann H J   +27 more
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Characterizing Affine Vector Fields on Pseudo-Riemannian Manifolds

Axioms
We 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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Gravitational fields as generalized string models

, 2008
We show that Einstein's main equations for stationary axisymmetric fields in vacuum are equivalent to the motion equations for bosonic strings moving on a special nonflat background.
A. Papapetrou, A. Sánchez, A. Ya. Burinskii, C.W. Misner, D. Korotkin, D. Maison, D. Nuñez, F. J. Ernst, Francisco J. Hernández, Francisco Nettel, H. J. Vega de, H. Nishino, H. Nishino, H. Quevedo, H. Stephani, H. Weyl, Hernando Quevedo, J. Polchinski, L. Patiño, R. Gowdy, T. Lewis, V. A. Belinsky   +21 more
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Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields

Comptes Rendus. Mathématique
Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
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Killing vector fields on semiriemannian manifolds

Killing vector fields on semiriemannian manifolds, 1989
Itiswellknown thata Killingvectorfieldon a riemannian compact manifold is holonomic (Kostant (4)). In other words, the Ax operator(Ax=Lx―Vx=― VX) liesin the holomony algebra of the manifold. The covariant derivative of Ax gives us a curvature transfor- mation.
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Examples of Einstein spacetimes with recurrent null vector fields

, 2011
The Einstein Equation on 4-dimensional Lorentzian manifolds admitting recurrent null vector fields is discussed. Several examples of a special form are constructed.
Galaev, Anton S.
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