Abstract
In this paper, we establish a Simons-type integral inequality for minimal surfaces with constant Kähler angle in complex projective spaces, and we determine all the closed minimal surfaces with the square norm of the second fundamental form satisfying a pinching condition.
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Acknowledgements
This work was supported by NSFC (Nos. 11401481, 12371055, 11301273, 11971237). The first named author was also supported by the Research Enhancement Fund of Xi’an Jiaotong–Liverpool University (No. REF-18-01-03). The third named author was also supported by the Natural Science Foundation of Jiangsu Province (No. BK20221320).
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Fei, J., Jiao, X. & Wang, J. A Simons-type Integral Inequality for Minimal Surfaces with Constant Kähler Angle in Complex Projective Spaces. Front. Math (2024). https://doi.org/10.1007/s11464-022-0291-z
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DOI: https://doi.org/10.1007/s11464-022-0291-z