Type: Article
Publication Date: 1997-06-01
Citations: 28
DOI: https://doi.org/10.21099/tkbjm/1496163159
for some positive constant k and a field of unit vectors Ys along y. Here Vs denotes the covariant differentiation along y with respect to the Riemannian connection V of M. The positive constant k is called the curvature of y. For given a positive k and an orthonormal pair of vectors u, v e TXM at a given point x e M, we have a unique circle y defined for ―oo ) we have an