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On geodesible vector fields and related geometric structures [PDF]

, 2023
A nowhere vanishing vector field X on a manifold M is called geodesible if there exists a Riemannian metric on M for which X is of unit length and such that the orbits of X are geodesics. After discussing some examples of such vector fields, we extend an existence result of Gluck and Hajduk--Walczak about geodesible vector fields on odd-dimensional ...
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Geodesic spheres and Jacobi vector fields on Sasakian space forms

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987
SynopsisUsing explicit equations for Jacobi vector fields on a Sasakian space form, we characterise such spaces by means of the shape operator of small geodesic spheres.
Blair, David E., Vanhecke, Lieven
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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
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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, Martín-Eduardo Frias-Armenta, Elifalet López-González   +2 more
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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, Babli Kumari, I Ahmad
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Geodesic Mappings of Vn(K)-Spaces and Concircular Vector Fields

Mathematics, 2019
Mikes Josef, Igor G Shandra, Josef Mikes   +2 more
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Vector variational inequalities on Hadamard manifolds involving strongly geodesic convex functions

Operations Research Letters, 2019
Anurag Jayswal, I Ahmad, Babli Kumari
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Geodesic active contour, inertia and initial speed

Pattern Recognition Letters, 2008
Cui Hua, Gao Liqun
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Computing Smooth Quasi-geodesic Distance Field (QGDF) with Quadratic Programming

CAD Computer Aided Design, 2020
Shuangmin Chen, Guozhu Liu, Shiqing Xin   +2 more
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Geodesic Flow Kernel Support Vector Machine for Hyperspectral Image Classification by Unsupervised Subspace Feature Transfer

Remote Sensing, 2016
Alim Samat, Paolo Gamba, Jilili Abuduwaili   +2 more
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