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

Jun Wang; Jie Fei

doi:10.1142/S0129167X21500956

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

Jun Wang
, Jie Fei^*

^*Corresponding author for this work

Department of Pure Mathematics

Nanjing Normal University

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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
Article number	2150095
Journal	International Journal of Mathematics
Volume	32
Issue number	13
DOIs	https://doi.org/10.1142/S0129167X21500956
Publication status	Published - 1 Dec 2021

Keywords

Rigidity
complex Grassmann manifolds
holomorphic curves
homogeneous two-spheres
the second fundamental form

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10.1142/S0129167X21500956

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

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.",

keywords = "Rigidity, complex Grassmann manifolds, holomorphic curves, homogeneous two-spheres, the second fundamental form",

author = "Jun Wang and Jie Fei",

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T1 - Rigidity theorems for holomorphic curves in a complex Grassmann manifold G (3, 6)

AU - Wang, Jun

AU - Fei, Jie

PY - 2021/12/1

Y1 - 2021/12/1

N2 - 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.

AB - 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.

KW - Rigidity

KW - complex Grassmann manifolds

KW - holomorphic curves

KW - homogeneous two-spheres

KW - the second fundamental form

UR - https://www.scopus.com/pages/publications/85117076729

U2 - 10.1142/S0129167X21500956

DO - 10.1142/S0129167X21500956

M3 - Article

AN - SCOPUS:85117076729

SN - 0129-167X

VL - 32

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 13

M1 - 2150095

ER -

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

Abstract

Keywords

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