%0 Journal Article %T A rigidity theorem for codimension one shrinking gradient Ricci solitons in $\mathbb R^{n+1}$ %A Pengfei Guan %A Peng Lu %A Yiyan Xu %J Mathematics %D 2014 %I arXiv %X We prove a splitting theorem for complete gradient Ricci soliton with nonnegative curvature and establish a rigidity theorem for codimension one complete shrinking gradient Ricci soliton in $\mathbb R^{n+1}$ with nonnegative Ricci curvature. %U http://arxiv.org/abs/1410.5856v1