Generalized transversely projective structure on a transversely holomorphic foliation
نویسندگان
چکیده
منابع مشابه
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 automorphisms of the projective space, has a canonical transversely projective structure. Such a foliation ...
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The space of transversely projective structures on a transversely holomorphic foliation is described. Some applications are given.
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Given a transversely projective foliation F on a C∞ manifold M and a nonnegative integer k, a transversal differential operator DF (2k + 1) of order 2k + 1 from N⊗k to N⊗(−k−1) is constructed, where N denotes the normal bundle for the foliation. There is a natural homomorphism from the space of all infinitesimal deformations of the transversely projective foliation F to the first cohomology of ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2002
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s016117120201116x