The deformation of symplectic critical surfaces in a Kähler surface-I

Xiaoli Han, Jiayu Li, Jun Sun

In this paper we derive the Euler-Lagrange equation of the functional $L_{\beta }={\int }_{\Sigma }\frac{1}{{\cos }^{\beta }\alpha }d\mu ,\beta \ne -1$ in the class of symplectic surfaces. It is $\cos^3α{\bf{H}}=β(J(J\…