@article{oai:iwate-u.repo.nii.ac.jp:00011316, author = {押切, 源一}, journal = {岩手大学教育学部研究年報}, month = {Mar}, note = {Given a codimension-one plane field ξ on a closed manifold M, we show that if X is transverse to ξ, then there are many functions f on M such that supp( f ) = M and that fX is the mean curvature vector field of ξ with respect to some Riemannian metric of M, and we give a necessary and sufficient condition for X to become the mean curvature vector field of ξ with respect to some Riemannian metric of M. As an application, we show a stability property of mean curvature vector fields H of ξ with respect to small perturbations of codimension-one plane fields.}, pages = {45--52}, title = {Admissible Vector Fields of Codimension-One Plane Fields and Their Stability Property}, volume = {71}, year = {2012} }