A note on the analytic families of compact submanifolds of complex manifolds
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- by Zhiqin Lu PDF
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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
- K. Kodaira, A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds, Ann. of Math. (2) 75 (1962), 146–162. MR 133841, DOI 10.2307/1970424
- K. Kodaira and D. C. Spencer, A theorem of completeness of characteristic systems of complete continuous systems, Amer. J. Math. 81 (1959), 477–500. MR 112156, DOI 10.2307/2372752
- 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
Additional Information
- Zhiqin Lu
- MR Author ID: 320240
- Email: lu@math.columbia.edu
- 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
- © Copyright 1999 American Mathematical Society
- 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
- MathSciNet review: 1625769