2018
Том 70
№ 11

All Issues

Kirichenko V. F.

Articles: 1
Brief Communications (Russian)

On the Geometry of Holomorphic Developable Vector Fields on Almost Hermitian Manifolds

Kirichenko V. F., Kuzakon’ V. M.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2013. - 65, № 7. - pp. 1005–1008

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.