Baouendi, M. S.; Rothschild, Linda Preiss; Zaitsev, Dmitri 'Equivalences of real submanifolds in complex space' in Journal of Differential Geometry, 59, (2), 2001, pp 301 - 351
Journal of Differential Geometry 59 2
We show that for any real-analytic submanifold M in CN there is a proper
real-analytic subvariety V contained in M such that for any p ∈ M \ V , any real-analytic
submanifold M′ in CN, and any p′ ∈ M′, the germs of the submanifolds M and M′ at
p and p′ respectively are formally equivalent if and only if they are biholomorphically
equivalent. More general results for k-equivalences are also stated and proved.
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