主讲人：韩正超 教授（美国Rutgers大学）

时  间：6月21日（周二）16：00-17：00

地  点：数学科学学院 311 教室

备  注：摘要：We present some results on the local solvability of the Nirenberg problem on S^2 . More precisely, an L^2(S^2) function near 1 is the Gauss curvature of an H^2(S^2) metric on the round sphere S^2, pointwise conformal to the standard round metric on S^2, provided its projection into the the space of spherical harmonics of degree 2 satisfy a matrix invertibility condition, and the ratio of the L^2(S^2) norms of its L^2(S^2) projections into the the space of spherical harmonics of degree 1 vs the space of spherical harmonics of degrees other than 1 is sufficiently small.