Canonical integrals of admissible differential geometric structures on submanifolds of codimension two in pseudoeuclidean space E(n+1)2(n+1)

Abstract

Some classes of n-tuple integrals depending on n parameters and differential geometric structures on 2n dimensional manifolds of integration's variables and parameters M are studying. These integrals (when no degenerate) induce the structure of the pseudoriemannian Rashevsky-Einstein space on M. Using the Cartan's method of exterior forms on manifolds the inverse problem of the discovery of above-mentioned integrals inducing the given admissible differential geometric structure on M is studying. Obtained results contain new kernels for integral transforms.