Transactions of the American Mathematical Society

Author(s): Xiaoxiang Jiao; Jiagui Peng
Journal: Trans. Amer. Math. Soc. 355 (2003), 3715-3726.
MSC (2000): Primary 53C42, 53C55
Posted: May 7, 2003
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Abstract: It is proved that the Kähler angle of the pseudo-holomorphic sphere of constant curvature in complex Grassmannians is constant. At the same time we also prove several pinching theorems for the curvature and the Kähler angle of the pseudo-holomorphic spheres in complex Grassmannians with non-degenerate associated harmonic sequence.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 53C42, 53C55

Xiaoxiang Jiao
Affiliation: Department of Mathematics, Graduate School, Chinese Academy of Sciences, Beijing 100039, China
Email: xxj@gscas.ac.cn

Jiagui Peng
Affiliation: Department of Mathematics, Graduate School, Chinese Academy of Sciences, Beijing 100039, China
Email: pengck@gscas.ac.cn

DOI: 10.1090/S0002-9947-03-03244-6
PII: S 0002-9947(03)03244-6
Keywords: Gauss curvature, K\"{a}hler angle, harmonic sequence, pseudo-holomorphic curve
Received by editor(s): September 6, 2002
Received by editor(s) in revised form: October 31, 2002
Posted: May 7, 2003
Additional Notes: Supported by the National Natural Science Foundation of China (Grants No. 10001033, 10131020, 10071804) and the President Foundation of the Graduate School of the Chinese Academy of Sciences
Copyright of article: Copyright 2003, American Mathematical Society

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