Related to isolated singularities,
Kuranishi initiated deformation theory of CR structures. And this theory has been
improved in T. Akahori, 1981. In this paper, we show that the canonical family,
constructed in T. Akahori, 1981, is real analytic. This result gives a direct proof of
Miyajima’s theorem about Isolated singularities and CR structures on their links (see
K. Miyajima, 1980).
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