Abstract
In this paper, we prove some local rigidity theorems of holomorphic curves in a complex Grassmann manifold G(3, 6) by moving frames. By applying our rigidity theorems, we also give a characterization of all homogeneous holomorphic two-spheres in G(3, 6) classified by the second author.
Original language | English |
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Article number | 2150095 |
Journal | International Journal of Mathematics |
Volume | 32 |
Issue number | 13 |
DOIs | |
Publication status | Published - 1 Dec 2021 |
Keywords
- Rigidity
- complex Grassmann manifolds
- holomorphic curves
- homogeneous two-spheres
- the second fundamental form
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Wang, J., & Fei, J. (2021). Rigidity theorems for holomorphic curves in a complex Grassmann manifold G (3, 6). International Journal of Mathematics, 32(13), Article 2150095. https://doi.org/10.1142/S0129167X21500956