Principal toroidal bundles over Cauchy-Riemann products

L. Maria Abatangelo and Sorin Dragomir

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-12

Abstract:

The main result we obtain is that given π : N → M a T s -subbundle of the generalized Hopf fibration π ¯ : H 2 n + s → ℂ P n over a Cauchy-Riemann product i : M ⊆ ℂ P n , i.e. j : N ⊆ H 2 n + 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 H 2 n + s then N is a Cauchy-Riemann submanifold whose Chen class is non-vanishing.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:358491

DOI: 10.1155/S0161171290000448

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