Generalized transversely projective structure on a transversely holomorphic foliation

Indranil Biswas

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-13

Abstract:

The results of Biswas (2000) are extended to the situation of transversely projective foliations. In particular, it is shown that a transversely holomorphic foliation defined using everywhere locally nondegenerate maps to a projective space ℂ ℙ n , and whose transition functions are given by automorphisms of the projective space, has a canonical transversely projective structure. Such a foliation is also associated with a transversely holomorphic section of N ⊗ − k for each k ∈ [ 3 , n + 1 ] , where N is the normal bundle to the foliation. These transversely holomorphic sections are also flat with respect to the Bott partial connection.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:157653

DOI: 10.1155/S016117120201116X

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