Results 11 to 20 of about 639 (201)
Geodesically equivalent metrics on homogenous spaces [PDF]
Czechoslovak Mathematical Journal, 2018 Two metrics on a manifold are geodesically equivalent if sets of their unparameterized geodesics coincide. In this paper we show that if two left $G$-invariant metrics of arbitrary signature on homogenous space $G/H$ are geodesically equivalent, they are affinely equivalent, i.e. they have the same Levi-Civita connection.
Bokan, Neda +2 more
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Riemannian M-spaces with homogeneous geodesics [PDF]
Annals of Global Analysis and Geometry, 2018 We investigate homogeneous geodesics in a class of homogeneous spaces called $M$-spaces, which are defined as follows. Let $G/K$ be a generalized flag manifold with $K=C(S)=S\times K_1$, where $S$ is a torus in a compact simple Lie group $G$ and $K_1$ is the semisimple part of $K$.
Arvanitoyeorgos, Andreas +2 more
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Geodesic deviation equation in generalized hybrid metric-Palatini gravity
European Physical Journal C: Particles and Fields, 2023 In the context of general relativity, the geodesic deviation equation (GDE) relates the Riemann curvature tensor to the relative acceleration of two neighboring geodesics.
S. Golsanamlou, K. Atazadeh, M. Mousavi
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Covariant Space-Time Line Elements in the Friedmann–Lemaitre–Robertson–Walker Geometry
Axioms, 2022 Most quantum gravity theories quantize space-time on the order of Planck length (ℓp ). Some of these theories, such as loop quantum gravity (LQG), predict that this discreetness could be manifested through Lorentz invariance violations (LIV) over ...
David Escors, Grazyna Kochan
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Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces
Special Matrices, 2021 We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
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Geodesic vectors of square metrics on 5- dimensional generalized symmetric spaces [PDF]
ریاضی و جامعهIn this paper, we consider the $(\alpha, \beta)$-metric $F=\frac{(\alpha + \beta)^2}{\alpha}$ along with the function $\phi$ with the definition of $\phi(s)=1+2s+s^2$, which is known as a square metric, on 5-dimensional generalized symmetric spaces. Then
Dariush Latifi, Milad Zeinali
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Homogeneous Geodesics in Generalized Wallach Spaces [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2017 We classify generalized Wallach spaces which are g.o. spaces. We also investigate homogeneous geodesics in generalized Wallach spaces for any given invariant Riemannian metric and we give some examples.
Arvanitoyeorgos, Andreas, Wang, Yu
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Two-step Homogeneous Geodesics in Homogeneous Spaces
Taiwanese Journal of Mathematics, 2016 18 ...
Arvanitoyeorgos, Andreas +1 more
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Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groups [PDF]
Journal of HyperstructuresIn this paper, we consider invariant (α, β)-metrics and describe all geodesic vectors and investigate the set of all homogeneous geodesics on left invariant hypercomplex four dimensional simply connected Lie groups.
Milad Zeinali Laki, Dariush Latifi
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Noncommutative spaces of worldlines
Physics Letters B, 2019 The space of time-like geodesics on Minkowski spacetime is constructed as a coset space of the Poincaré group in (3+1) dimensions with respect to the stabilizer of a worldline.
Angel Ballesteros +2 more
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