IMMERSIONS OF METRICS INTO FLAT SPACES AND DEFORMATIONS OF IMMERSIONS

Abstract

The theory of the general analytical and infinite-small immersion deformations has been developed, the classes of the Riemannian and pseudo-Riemannian metrics immersed smoothly into the Euclidean and pseudo-Euclidean spaces with low codimensionality has been developed. The results can be used in the theory of isometric immersions and different theories of the deformations.Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio