A Note on Geodesic Vector Fields

A Note on Geodesic Vector Fields

Blog Article

The concircularity property of vector fields implies the geodesicity property, while the converse of this statement Loop Rolls is not true.The main objective of this note is to find conditions under which the concircularity and geodesicity properties of vector fields are equivalent.Moreover, it is kids visor shown that the geodesicity property of vector fields is also useful in characterizing not only spheres, but also Euclidean spaces.