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A note on the analytic families
of compact submanifolds
of complex manifolds


Author: Zhiqin Lu
Journal: Proc. Amer. Math. Soc. 128 (2000), 767-774
MSC (1991): Primary 32G05; Secondary 58H15
DOI: https://doi.org/10.1090/S0002-9939-99-05059-5
Published electronically: July 8, 1999
MathSciNet review: 1625769
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • 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
Email: lu@math.columbia.edu

DOI: https://doi.org/10.1090/S0002-9939-99-05059-5
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
Published electronically: July 8, 1999
Communicated by: Leslie Saper
Article copyright: © Copyright 1999 American Mathematical Society

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