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Rigidity of Holomorphic Spheres in G(2, N) by jie.fei is a document available to read on EtoBox.
This paper presents a local rigidity characterization of homogeneous holomorphic two-spheres in the complex Grassmann manifold G(2, N). It introduces a new global invariant, κ, and proves that a linearly full non-degenerate holomorphic curve with constant curvature and square norm of the second fundamental form must be homogeneous if κ = 0. The results extend previous findings on holomorphic immersions and provide a framework for understanding the rigidity of such curves in G(2, N).
- Author
- jie.fei
- Language
- EN