Space of associated metrics on a regular contact manifold (Q748978)

The author studies the problem of the extension of some results obtained by himself in the case of a three-dimensional regular contact manifold to the case of a regular contact manifold of an arbitrary dimension \(n=2k+1.\) There are obtained additional conditions on the K-contact metrics such that the corresponding factor space is finite-dimensional. There is also obtained the orthogonal decomposition of the space of the symmetric 2-forms and there is described the local structure of the space AM/D of the classes of associated metrics on M.