A Note on Geodesic Vector Fields

A Note on Geodesic Vector Fields

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The concircularity property of vector fields implies the geodesicity property, Cocktail Sticks while the converse of this statement is not true.The main objective of this note is to find conditions under which the concircularity 89% XDARK CHOC BAR and geodesicity properties of vector fields are equivalent.Moreover, it is shown that the geodesicity property of vector fields is also useful in characterizing not only spheres, but also Euclidean spaces.