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Geodesic Vector fields of invariant $(α,β)$-metrics on Homogeneous spaces
2012In 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
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Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields
Mathematics, 2019Josef Mikes +2 more
exaly
Vector variational inequalities on Hadamard manifolds involving strongly geodesic convex functions
Operations Research Letters, 2019Anurag Jayswal +2 more
exaly
Geodesics and Killing vector fields in a tangent bundle
2006Gezer, Aydın, Akbulut, Kürşat
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Geodesic bases for Lie algebras
Linear and Multilinear Algebra, 2015Grant 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
Geodesic rigidity of Levi-Civita connections admitting essential projective vector fields
Geometriae Dedicata, 2019Tianyu Ma
exaly

