β-symplectic Critical Surfaces In Kahler Surface

Let M be a Kahler surface and E be a closed symplectic surface which is smoothly immersed in M.Let α be the Kahler angle of E in M.In this paper,we study the functional Lβ=∫_Σ(1/cosβα)dμΣ,β≥0,and the critical point of this functional.We call such a surface β-simplectic critical surface.We first deduce the Euler-Lagrange equation,then study some properties of the β-simplectic critical surface.