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A note on the analytic families of compact submanifolds of complex manifolds
Author(s):
Zhiqin
Lu
Journal:
Proc. Amer. Math. Soc.
128
(2000),
767-774.
MSC (1991):
Primary 32G05;
Secondary 58H15
Posted:
July 8, 1999
MathSciNet review:
1625769
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Abstract:
In this paper, we prove a result of the deformation of the complex structure of a submanifold. Our result is a modification of the result of Kodaira (Ann. Math 75(1), 146-162, 1962).
References:
- 1.
- Kunihiko Kodaira A Theorem of Completeness of Characteristic Systems for Analytic Families of Compact Submanifolds of Complex Manifolds Annals of Mathematics,75(1), 146-162, 1962 MR 24:A3665b
- 2.
- Kunihiko Kodaira and D. C. Spencer. A Theorem of Completeness of Characteristic Systems of Complete Continuous Systems, Amer. J. Math, 81, 477-500, 1959 MR 22:3011
- 3.
- Gang Tian, Smoothness of the Universal Deformation Space of Compact Calabi-Yau Manifolds and its Peterson-Weil Metric, Mathematical aspects of string theory, (1), 629-646, Shing-Tung Yau ed, 1987, World Scientific CMP 20:04
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Additional Information:
Zhiqin
Lu
Affiliation:
Department of Mathematics, Columbia University, New York, New York 10027
Email:
lu@math.columbia.edu
DOI:
10.1090/S0002-9939-99-05059-5
PII:
S 0002-9939(99)05059-5
Keywords:
Deformation of the complex structure,
Kodaira-Spencer theory,
Calabi-Yau manifold
Received by editor(s):
January 23, 1998
Received by editor(s) in revised form:
April 22, 1998
Posted:
July 8, 1999
Communicated by:
Leslie Saper
Copyright of article:
Copyright
1999,
American Mathematical Society
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