Real analyticity of the canonical versal deformations of CR-structures

Takao Akahori

Type: Article

Publication Date: 1998-09-01

Citations: 0

DOI: https://doi.org/10.2140/pjm.1998.185.33

Abstract

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).

Locations

Pacific Journal of Mathematics - View - PDF

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Works Cited by This (10)

Action	Title	Year	Authors
+	The new estimate for the subbundlesE j and its application to the deformation of the boundaries of strongly pseudo convex domains	1981	Takao Akahori
+ PDF Chat	Global analytic-hypoellipticity of the $\bar \partial $-Neumann problem	1976	Gen Komatsu
+	Deformations of a complex manifold near a strongly pseudo-convex real hypersurface and a realization of Kuranishi family of strongly pseudo-convex CR structures	1990	Kimio Miyajima
+ PDF Chat	On Realizations of Families of Strongly Pseudo-Convex CR Structures	1992	Kimio Miyajima
+ PDF Chat	Completion of Akahori’s construction of the versal family of strongly pseudoconvex CR structures	1983	Kimio Miyajima
+	On the global real analyticity of solutions to on compact manifolds	1976	David S. Tartakoff
+ PDF Chat	Complex Analytic Construction of the Kuranishi Family on a Normal Strongly Pseudo-Convex Manifold, II	1980	Takao Akahori Kimio Miyajima
+ PDF Chat	Intrinsic Formula for Kuranishi's $\overline\partial_b^\varphi$	1978	Takao Akahori
+ PDF Chat	Complex analytic construction of the Kuranishi family on a normal strongly pseudoconvex manifold	1978	Takao Akahori
+	Completion of Akahori's Construction of the Versal Family of Strongly Pseudo-Convex CR Structures	1983	Kimio Miyajima