THE FIRST POSITIVE EIGENVALUE OF THE DIRAC OPERATOR ON 3-DIMENSIONAL SASAKIAN MANIFOLDS

Let (M-3, g) be a 3-dimensional closed Sasakian spin manifold. Let S-min, denote the minimum of the scalar curvature of (M-3, g). Let lambda(+)(1) > 0 be the first positive eigenvalue of the Dirac operator of (M-3, g). We proved in [13] that if lambda(+)(1) belongs to the interval lambda(+)(1) is an element of (1/2, 5/2), then lambda(+)(1) satisfies lambda(+)(1) >= S-min+6/8. In this paper, we remove the restriction "if lambda(+)(1) belongs to the interval lambda(+)(1) is an element of (1/2, 5/2)" and prove [GRAPHICS] .