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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
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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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