论文标题
Riemann Solitons的刚性结果
Rigidity results for Riemann solitons
论文作者
论文摘要
在本文中，我们探讨了使Riemann soliton琐碎的条件是其中之一。我们还表明，非紧凑型梯度Riemann Soliton的梯度场的无穷大行为可能导致Soliton成为爱因斯坦歧管。最后，我们获得了完全收缩或稳定的梯度riemann soliton的标量曲率估计值，其标量曲率从无穷大的下方界定。
In this paper we take a look at conditions that make a Riemann soliton trivial, compacity being one of them. We also show that the behaviour at infinity of the gradient field of a non-compact gradient Riemann soliton might cause the soliton to be an Einstein manifold. Finally, we obtain scalar curvature estimates for complete shrinking or steady gradient Riemann solitons whose scalar curvature is bounded from below at infinity.
