A new curvature condition preserved by the Ricci flow |
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| Authors: | Xiang Gao |
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| Institution: | 1. School of Mathematical Sciences, Ocean University of China, Lane 238, SongLing Road, Laoshan District, Qingdao City, 266100, People?s Republic of China;2. Department of Mathematics, East China Normal University, Lane 500, DongChuan Road, Shanghai, 200241, People?s Republic of China |
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| Abstract: | 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. |
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