Pseudo-holomorphic curves in complex Grassmann manifolds

Jiao, Xiaoxiang; Peng, Jiagui

doi:10.1090/S0002-9947-03-03244-6

Pseudo-holomorphic curves in complex Grassmann manifolds
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by Xiaoxiang Jiao and Jiagui Peng

Trans. Amer. Math. Soc. 355 (2003), 3715-3726

DOI: https://doi.org/10.1090/S0002-9947-03-03244-6

Published electronically: 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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