- 期刊
PRINCIPAL TOROIDAL BUNDLES OVER CAUCHY-RIEMANN PRODUCTS
摘要
The main result we obtain is that given π : N → M a T^s-subbundle of the generalized Hopf fibration □ : H^(2n+s) → ℂP^n over a Cauchy-Riemann product I : M ⊆ ℂP^n, i.e. j : N ⊆ H^(2n+s) is a diffeomorphism on fibres and □oj=ioπ, if s is even and N is a closed submanifold tangent to the structure vectors of the canonical ℊ-structure on H^(2n+s) then N is a Cauchy-Riemann submanifold whose Chen class is non-vanishing.