@article{oai:niigata-u.repo.nii.ac.jp:00002187, author = {Innami, Nobuhiro}, issue = {1}, journal = {Nihonkai Mathematical Journal, Nihonkai Mathematical Journal}, month = {}, note = {Let M_α, α∈∧, be complete connected Riemannian manifolds which are glued at their boundary. We call such a manifold M=U_<α∈∧>M_α a glued Rie-mannian manifold. Geodesics in a glued Riemannian manifold M are by definition locally minimizing curves in M. The variation vector fields through geodesics satisfy the Jacobi equation in each component manifold. In this paper we find the equation which show how Jacobi vector fields change in passing across the boundary of a com-ponent manifold into the neighboring component. As an application we characterize glued Riemannian manifolds whose glued boundary separates conjugate points.}, pages = {101--112}, title = {Jacobi vector fields along geodesics in glued Riemannian manifolds}, volume = {12}, year = {2001} }