Copyright © 1990 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The main result we obtain is that given π:N→M a Ts-subbundle of the generalized Hopf fibration π¯:H2n+s→ℂPn over a Cauchy-Riemann product i:M⊆ℂPn, i.e. j:N⊆H2n+s is a diffeomorphism on fibres and π¯∘j=i∘π, if s is even and N is a closed submanifold tangent to the structure vectors of the canonical ℊ-structure on H2n+s then N is a Cauchy-Riemann submanifold whose Chen class is non-vanishing.