01:02:44
publiée le 18 juin 2026
Des oscillations de Fourier aux ondes gravitationnelles : la théorie analytique de la propagation de l'information
De Ronald Coifman
De Yi Lai
Apparaît dans la collection : Summer School 2021 - Curvature Constraints and Spaces of Metrics
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.