Analytic Discs and Extension of CR Functions |
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| Authors: | Luca Baracco Giuseppe Zampieri |
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| Institution: | (1) Dipartimento De Matematica, Universita di Padova, Via Belzoni 7, 35131 Padova, Italy;(2) Universita di Padova, Dipartimento De Matematica, Via Belzoni 7, 35131 Padova, Italy |
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| Abstract: | Let M be a manifold of X = C
n
, A a small analytic disc attached to M, z
o
a point of  A where A is tangent to M, z
1 another point of A where M extends to a germ of manifold M
1 with boundary M. We prove that CR functions on M which extend to M
1 at z
1 also extend at z
o
to a new manifold M
2. The directions M
1 and M
2 point to, are related by a sort of connection associated to A which is dual to the connection obtained by attaching 'partial analytic lifts' of A to the co-normal bundle to M in X. |
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| Keywords: | CR function analytic discs |
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