On the Ricci curvature of steady gradient Ricci solitons |
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Authors: | Hongxin Guo |
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Affiliation: | School of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang, 325035, People's Republic of China |
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Abstract: | Assume (Mn,g) is a complete steady gradient Ricci soliton with positive Ricci curvature. If the scalar curvature approaches 0 towards infinity, we prove that , where O is the point where R obtains its maximum and γ(s) is a minimal normal geodesic emanating from O. Some other results on the Ricci curvature are also obtained. |
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Keywords: | Ricci flow Gradient Ricci soliton Ricci curvature |
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