An application of Bochner’s technique to the deformations of the complex structure of $\mathbb C \mathbb P^n$
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- by Yong Ouyang PDF
- Proc. Amer. Math. Soc. 131 (2003), 3703-3709 Request permission
Abstract:
We consider the deformation of the complex structure of $\mathbb C \mathbb P^n$. We show that a harmonic deformation on $\mathbb C \mathbb P^n$ equipped with the Fubini-Study metric is trivial if its supernorm is appropriately small.References
- James Morrow and Kunihiko Kodaira, Complex manifolds, Holt, Rinehart and Winston, Inc., New York-Montreal, Que.-London, 1971. MR 0302937
- M. Kuranishi, New proof for the existence of locally complete families of complex structures, Proc. Conf. Complex Analysis (Minneapolis, 1964) Springer, Berlin, 1965, pp. 142–154. MR 0176496
Additional Information
- Yong Ouyang
- Affiliation: Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Dongdaemun-gu, 130-012 Seoul, Korea
- Address at time of publication: 510403, GuangZhou, Jin Zhong Heng Lu, BaiLan HuaYuan, 25 Dong 403, P. R. China
- Email: ouyang@newton.kias.re.kr
- Received by editor(s): January 6, 2002
- Published electronically: July 2, 2003
- Communicated by: Mohan Ramachandran
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3703-3709
- MSC (2000): Primary 32G05, 58J05
- DOI: https://doi.org/10.1090/S0002-9939-03-07126-0
- MathSciNet review: 1998177