Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Korea
Abstract:
Recently, the sharp -bilinear (adjoint) restriction estimates for the cone and the paraboloid were established by Wolff and Tao, respectively. Their results rely on the fact that for the cone and the paraboloid, the nonzero principal curvatures have the same sign. We generalize those bilinear restriction estimates to surfaces with curvatures of different signs.