Connecting toric manifolds by conical Kahler-Einstein metrics
arXiv:1308.6781
Abstract
We give criterions for the existence of toric conical Kahler-Einstein and Kahler-Ricci soliton metrics on any toric manifold in relation to the greatest Ricci and Bakry-Emery-Ricci lower bound. We also show that any two toric manifolds with the same dimension can be joined by a continuous path of toric manifolds with conical Kahler-Einstein metrics in the Gromov-Hausdorff topology.
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- The Ricci flow on the sphere with marked points
- Kähler-Einstein metrics and volume minimization
- Convergence of the conical Ricci flow on S2 to a soliton
- Geometric convergence of the Kähler-Ricci flow on complex surfaces of general type
- On convexity of the regular set of conical Kahler-Einstein metrics
- An effective weighted K-stability condition for polytopes and semisimple principal toric fibratons
- An investigation of stability on certain toric surfaces
- Complex symplectomorphisms and pseudo-Kähler islands in the quantization of toric manifolds
- Smooth approximation of the modified conical Kähler-Ricci flow
- Twisted and conical Kähler-Ricci soliton on Fano manifolds