Steady gradient Ricci solitons with positive curvature
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| Title | Steady gradient Ricci solitons with positive curvature |
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| Alternative Title | A family of 3d steady gradient Ricci solitons that are flying wings |
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| Number of Parts | 48 |
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| Abstract | We find a family of 3d steady gradient Ricci solitons that are flying wings. This verifies a conjecture by Hamilton. For a 3d flying wing, we show that the scalar curvature does not vanish at infinity. The 3d flying wings are collapsed. For dimension n ≥ 4, we find a family of Z2 × O(n − 1)-symmetric but non-rotationally symmetric n-dimensional steady gradient solitons with positive curvature operator. We show that these solitons are non-collapsed |
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