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

Authors:	Yuxia ZHANG Xiangrong ZHU

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

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

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