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Geodesic Vector fields of invariant $(α,β)$-metrics on Homogeneous spaces

2012
In this paper we show that for an invariant $(α,β)-$metric $F$ on a homogeneous Finsler manifold $\frac{G}{H}$, induced by an invariant Riemannian metric $\tilde{a}$ and an invariant vector field $\tilde{X}$, the vector $X=\tilde{X}(H)$ is a geodesic vector of $F$ if and only if it is a geodesic vector of $\tilde{a}$.
PARHIZKAR, M., MOGHADDAM, H. R. Salimi
openaire   +2 more sources

Vector variational inequalities on Riemannian manifolds with approximate geodesic star-shaped functions

Rendiconti Del Circolo Matematico Di Palermo, 2021
Anurag Jayswal   +2 more
exaly  

Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields

Mathematics, 2019
Josef Mikes   +2 more
exaly  

Vector variational inequalities on Hadamard manifolds involving strongly geodesic convex functions

Operations Research Letters, 2019
Anurag Jayswal   +2 more
exaly  

Geodesic bases for Lie algebras

Linear and Multilinear Algebra, 2015
Grant Cairns, Yuri Nikolayevsky
exaly  

Geodesic connectedness of a spacetime with a causal Killing vector field.

We study the geodesic connectedness of a globally hyperbolic spacetime (M, g) admitting a complete smooth Cauchy hypersurface S and endowed with a complete causal Killing vector field K. The main assumptions are that the kernel distribution D of the one-form induced by K on S is non-integrable and that the gradient of g(K, K) is orthogonal to D.
openaire   +1 more source

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