Abstract
In this paper, we establish a Simons' inequality about holomorphic curves immersed into a complex Grassmann manifold G(k,n;C), and we characterize all the pinched holomorphic curves in G(2,n;C) when the second fundamental form satisfies a pinching condition.
Original language | English |
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Article number | 101840 |
Journal | Differential Geometry and its Application |
Volume | 80 |
DOIs | |
Publication status | Published - Feb 2022 |
Keywords
- Complex Grassmann manifolds
- Holomorphic curves
- Pinching
- Second fundamental form
Cite this
Wang, J., Fei, J., & Xu, X. (2022). Pinching for holomorphic curves in a complex Grassmann manifold G(2,n;C). Differential Geometry and its Application, 80, Article 101840. https://doi.org/10.1016/j.difgeo.2021.101840