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

Compositio Mathematica (1993)

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

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topAkahori, Takao, and Miyajima, Kimio. "An analogy of Tian-Todorov theorem on deformations of CR-structures." Compositio Mathematica 85.1 (1993): 57-85. <http://eudml.org/doc/90191>.

@article{Akahori1993,

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 = {http://eudml.org/doc/90191},

volume = {85},

year = {1993},

}

TY - JOUR

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 - http://eudml.org/doc/90191

ER -

## References

top- [A1] Akahori, T.: Intrinsic formula for Kuranishi's ∂ϕb, RIMS, Kyoto Univ., 14 (1978), 615-641. Zbl0411.53029
- [A2] Akahori, T.: The new estimate for the subbundles E j and its application to the deformation of the boundaries of strongly pseudo convex domains, Invent. Math.63 (1981), 311-334. Zbl0496.32015MR610542
- [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
- [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
- [Go-Mi] Goldman, W. and Millson, J.: The homotopy invariance of the Kuranishi space, III. J. Math., 34 (1990), 337-367. Zbl0707.32004MR1046568
- [L] Lee, J.M.: Pseudo-Einstein structures on CR manifolds, Am. J. Math.110 (1988), 157-178. Zbl0638.32019MR926742
- [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
- [Mi2] Miyajima, K.: On realizations of families of strongly pseudo-convex CR structures, preprint. Zbl0803.32010MR1164193
- [T] Tanaka, N.: A differential geometric study on strongly pseudo convex manifolds, Lectures in Mathematics, Dept. of Math., Kyoto Univ. Zbl0331.53025
- [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
- [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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