On the Geometry of Holomorphic Developable Vector Fields on Almost Hermitian Manifolds
The determination of conditions for the invariance of geometric objects under the action of a group of transformations is one of the most important problems of geometric research. We study the invariance conditions for almost Hermitian structures relative to the action of a local one-parameter group of diffeomorphisms generated by a developable vector field on a manifold. Moreover, we investigate the relationship between developable (in particular, concircular) vector fields on Riemannian manifolds and locally concircular transformations of the metric of these manifolds.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 7, pp 1122-1125.
Citation Example: Kirichenko V. F., Kuzakon’ V. M. On the Geometry of Holomorphic Developable Vector Fields on Almost Hermitian Manifolds // Ukr. Mat. Zh. - 2013. - 65, № 7. - pp. 1005–1008.