Generalized transversely projective structure on a transversely holomorphic foliation
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 ℂℙn, and whose transition functions are given by automorphi...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120201116X |
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| Summary: | 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
ℂℙn, 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. |
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| ISSN: | 0161-1712 1687-0425 |