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2 results

  • A Note on the Analogue of the Bogomolov Type Theorem on Deformations of CR-Structures

  • Takao Akahori, Kimio Miyajima
  • Journal:
    Canadian Mathematical Bulletin / Volume 37 / Issue 1 / 01 March 1994
    Published online by Cambridge University Press:
    20 November 2018, pp. 8-12
    Print publication:
    01 March 1994
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  • Let (M, °T″) be a compact strongly pseudo-convex CR-manifold with trivial canonical line bundle. Then, in [A-M2], a weak version of the Bogomolov type theorem for deformations of CR-structures was shown by an analogy of the Tian- Todorov method. In this paper, we show that: in the very strict sense, there is a counterexample.

  • A Criterion for Versality Of Deformations of Tubular Neighborhoods of Strongly Pseudo Convex Boundaries

  • Takao Akahori
  • Journal:
    Canadian Journal of Mathematics / Volume 44 / Issue 2 / 01 April 1992
    Published online by Cambridge University Press:
    20 November 2018, pp. 225-233
    Print publication:
    01 April 1992
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  • We extend the famous Kodaira-Spencer's completeness theorem for a family of deformations of complex structures (see [12]). As an application, we show that the canonical family constructed in [9] is versai.