An analogy of Tian-Todorov theorem on deformations of CR-structures

Takao Akahori; Kimio Miyajima

Compositio Mathematica (1993)

  • Volume: 85, Issue: 1, page 57-85
  • ISSN: 0010-437X

How to cite


Akahori, Takao, and Miyajima, Kimio. "An analogy of Tian-Todorov theorem on deformations of CR-structures." Compositio Mathematica 85.1 (1993): 57-85. <>.

author = {Akahori, Takao, Miyajima, Kimio},
journal = {Compositio Mathematica},
keywords = {strongly pseudo convex; Tian-Todorov lemma},
language = {eng},
number = {1},
pages = {57-85},
publisher = {Kluwer Academic Publishers},
title = {An analogy of Tian-Todorov theorem on deformations of CR-structures},
url = {},
volume = {85},
year = {1993},

AU - Akahori, Takao
AU - Miyajima, Kimio
TI - An analogy of Tian-Todorov theorem on deformations of CR-structures
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 85
IS - 1
SP - 57
EP - 85
LA - eng
KW - strongly pseudo convex; Tian-Todorov lemma
UR -
ER -


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  3. [A3] Akahori, T.: The new Neumann operator associated with deformations of strongly pseudo convex domains and its application to deformation theory, Invent. Math.68 (1982), 317-352. Zbl0575.32021MR666165
  4. [Ak-Mi] Akahori, T. and Miyajima, K.: Complex analytic construction of the Kuranishi family on a normal strongly pseudo convex manifold. II, RIMS, Kyoto Univ.16 (1980), 811-834. Zbl0464.32013MR602470
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  7. [Mi1] Miyajima, K.: Completion of Akahori's construction of the versal family of strongly pseudo convex CR-structures, Trans. Amer. Math. Soc.277 (1980), 162-172. Zbl0525.32019MR690046
  8. [Mi2] Miyajima, K.: On realizations of families of strongly pseudo-convex CR structures, preprint. Zbl0803.32010MR1164193
  9. [T] Tanaka, N.: A differential geometric study on strongly pseudo convex manifolds, Lectures in Mathematics, Dept. of Math., Kyoto Univ. Zbl0331.53025
  10. [Ti] Tian, C.: Smoothness of the universal deformation space of compact Calabi-Yau manifolds and its Petersson-Weil metric, in (S. T. Yau ed.) Mathematical Aspects of String Theory, World Scientific (1987) pp. 629-646. Zbl0696.53040MR915841
  11. [To] Todorov, A.N.: The Weil-Petersson geometry of the moduli space of SU(n ≽ 3) (Calabi-Yau) Manifolds I, Commun. Math. Phy.126 (1989). Zbl0688.53030

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