This result states choi–schoen compactness theorem for embedded minimal surfaces with bounded area and genus: given (M 3,g) be a closed Riemannian 3-manifold. Fix constants A 0>0 and g 0 N. Let \ k\ be a sequence of closed embedded minimal surfaces in M such that H 2( k) A 0, genus( k) g.... It is useful in minimal surfaces and harmonic maps, where variational identities, curvature estimates, and compactness arguments control geometric objects.