A rigidity theorem for codimension one shrinking gradient Ricci solitons in $\mathbb R^{n+1}$

Pengfei Guan; Peng Lu; Yiyan Xu

arxiv: 1410.5856 · v1 · pith:3S7LUAGKnew · submitted 2014-10-21 · 🧮 math.DG · math.AP

A rigidity theorem for codimension one shrinking gradient Ricci solitons in mathbb R^(n+1)

Pengfei Guan , Peng Lu , Yiyan Xu This is my paper

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keywords riccigradienttheoremcodimensioncompletecurvaturemathbbnonnegative

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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.

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A rigidity theorem for codimension one shrinking gradient Ricci solitons in mathbb R^(n+1)

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