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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

Geodesibility of algebrizable three-dimensional vector fields

Abstract. For each algebrizable three-dimensional vector field F, in this paper we give local rectifications Hα of F, which let us to show that F is geodesible with respect to the Riemannian metric g. Furthermore, an orthonormal frame {E1,E2,E3} for g, where Ei = eiF and {e1,e2,e3} is the canonical basis of R3.
Julio Cesar Avila   +2 more
openaire   +1 more source

On vector field reconstructions for semi-Lagrangian transport methods on geodesic staggered grids

Journal of Computational Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pedro S. Peixoto, Saulo R. M. Barros
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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  

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

Computing Smooth Quasi-geodesic Distance Field (QGDF) with Quadratic Programming

CAD Computer Aided Design, 2020
Yuanfeng Zhou   +2 more
exaly  

Vector variational inequalities on Hadamard manifolds involving strongly geodesic convex functions

Operations Research Letters, 2019
Anurag Jayswal   +2 more
exaly  

Geodesic active contour, inertia and initial speed

Pattern Recognition Letters, 2008
Gao Liqun, Cui Hua
exaly  

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