TY - JOUR
T1 - Rigidity theorems for holomorphic curves in a complex Grassmann manifold G (3, 6)
AU - Wang, Jun
AU - Fei, Jie
N1 - Publisher Copyright:
© 2021 World Scientific Publishing Company.
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 - http://www.scopus.com/inward/record.url?scp=85117076729&partnerID=8YFLogxK
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 -