TY - JOUR
T1 - Simons-type inequalities for minimal surfaces with constant Kähler angle in a complex hyperquadric
AU - Wang, Jun
AU - Fei, Jie
AU - Jiao, Xiaoxiang
N1 - Funding Information:
The first author was supported by the NSFC (Grant No. 11301273 , No. 11971237 ), and the NSF of the Jiangsu Higher Education Institutions of China (Grant No. 17KJA110002 , No. 19KJA320001 ) and the Natural Science Foundation of Jiangsu Province ( BK20181381 , BK20221320 ). The second author was supported by the NSFC (Grant No. 11401481 ) and the Research Enhancement Fund and Continuous Support Fund of Xi'an Jiaotong-Liverpool University ( REF-18-01-03 , RDF-SP-43 ). The third author is supported by the NSFC (Grant No. 11871450 ).
Publisher Copyright:
© 2023 Elsevier B.V.
PY - 2023/6
Y1 - 2023/6
N2 - In this paper, we establish Simons-type inequalities and obtain some pinching theorems for compact minimal surfaces with constant Kähler angle immersed into a complex hyperquadric, and we characterize all these minimal surfaces when equality holds in the pinching theorems.
AB - In this paper, we establish Simons-type inequalities and obtain some pinching theorems for compact minimal surfaces with constant Kähler angle immersed into a complex hyperquadric, and we characterize all these minimal surfaces when equality holds in the pinching theorems.
KW - Constant Kähler angle
KW - Hyperquadric
KW - Minimal surfaces
KW - Simons-type inequality
KW - The second fundamental form
UR - http://www.scopus.com/inward/record.url?scp=85150165577&partnerID=8YFLogxK
U2 - 10.1016/j.difgeo.2023.102001
DO - 10.1016/j.difgeo.2023.102001
M3 - Article
AN - SCOPUS:85150165577
SN - 0926-2245
VL - 88
JO - Differential Geometry and its Application
JF - Differential Geometry and its Application
M1 - 102001
ER -