<p>In this paper, we derive an integral bound for the Riemann curvature of complete non-compact gradient steady Ricci solitons with positive Ricci curvature. As an application, we prove that the Riemann curvature tensor grows at most exponentially with respect to the distance function.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Curvature estimates for gradient steady Ricci solitons

  • Ling Wu

摘要

In this paper, we derive an integral bound for the Riemann curvature of complete non-compact gradient steady Ricci solitons with positive Ricci curvature. As an application, we prove that the Riemann curvature tensor grows at most exponentially with respect to the distance function.