Pseudo-holomorphic curves in complex Grassmann manifolds

Pseudo-holomorphic curves in complex Grassmann manifolds
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DOI:
10.1090/s0002-9947-03-03244-6
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发表时间:
2003-05
影响因子:
1.3
通讯作者:
X. Jiao;Jiagui Peng
X. Jiao;Jiagui Peng
中科院分区:
数学1区
文献类型:
--
作者:
X. Jiao;Jiagui Peng

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证明了复Grassmannian中常曲率伪全纯球的Kahler角为常数。同时证明了复Grassmannian中伪全纯球面的曲率和Kahler角的几个Pinching定理。
It is proved that the Kahler 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 Kahler angle of the pseudo-holomorphic spheres in complex Grassmannians with non-degenerate associated harmonic sequence.