Upper bound of Kähler angles on the <i>β</i>-symplectic critical surfaces

doi:10.1007/s11464-022-1020-3

Front. Math. China

2022, Vol. 17

Issue (4) : 511-519 https://doi.org/10.1007/s11464-022-1020-3

RESEARCH ARTICLE

Upper bound of Kähler angles on the β-symplectic critical surfaces

Yuxia ZHANG, Xiangrong ZHU(

)

College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, China

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Abstract

Let $(M, g)$ be a Kähler surface and $Σ$ be a $β$ -symplectic critical surface in $M$ . If $L q (Σ)$ is bounded for some $q > 3$ , then we give a uniform upper bound for the Kähler angle on $Σ$ . This bound only depends on $M, q, β$ and the $L q$ functional of $Σ$ . For $q > 4$ , this estimate is known and we extend the scope of $q$ .

Keywords Kähler surface β-symplectic critical surfaces Kähler angle L_β functional

Corresponding Author(s): Xiangrong ZHU

Online First Date: 08 December 2022 Issue Date: 19 December 2022

Cite this article:

Yuxia ZHANG,Xiangrong ZHU. Upper bound of Kähler angles on the β-symplectic critical surfaces[J]. Front. Math. China, 2022, 17(4): 511-519.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-022-1020-3
https://academic.hep.com.cn/fmc/EN/Y2022/V17/I4/511

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