Rigidity theorems for holomorphic curves in a complex Grassmann manifold G(3,6)-Reference-Cited by-同舟云学术

Rigidity theorems for holomorphic curves in a complex Grassmann manifold G(3,6)

Published:2021-09-23 Issue:13 Volume:32 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Wang Jun¹,Fei Jie²

Affiliation:

1. School of Mathematics Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing 210023, P. R. China

2. Department of Pure Mathematics, School of Science, Xi’an Jiaotong-Liverpool University, Suzhou 215123, P. R. China

Abstract

In this paper, we prove some local rigidity theorems of holomorphic curves in a complex Grassmann manifold [Formula: see text] by moving frames. By applying our rigidity theorems, we also give a characterization of all homogeneous holomorphic two-spheres in [Formula: see text] classified by the second author.

Funder

NSFC

NSF of the Jiangsu Higher Education Institutions of China

Research Enhancement Fund of XJTLU

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X21500956

Reference28 articles.

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1. Pinched Constantly Curved Holomorphic Two-Spheres in the Complex Grassmann Manifolds;Results in Mathematics;2024-07-23

2. Rigidity of Homogeneous Holomorphic $$S^2$$ in a Complex Grassmann Manifold G(2, N);The Journal of Geometric Analysis;2023-07-27