A new curvature condition preserved by the Ricci flow

作者：Gao, Xiang^*

来源：Journal of Mathematical Analysis and Applications, 2012, 387(2): 791-798.

DOI：10.1016/j.jmaa.2011.09.046

• Ricci flow
• 2-Parameters nonnegative curvature operator
• Maximum principle

In this paper, we establish a new curvature condition preserved by the Ricci flow, which is named as 2-parameters nonnegative curvature condition. It relies on the first, second and third eigenvalues of the Riemannian curvature operator. Based on this, we prove the strong maximum principle for the 2-parameters nonnegativity along Ricci flow.

• 出版日期2012-3-15
• 单位中国海洋大学; 华东师范大学