The twisted Kähler–Ricci flow
Copyright policy )The twisted Kähler–Ricci flow
AbstractIn this paper we study a generalization of the Kähler–Ricci flow, in which the Ricci form is twisted by a closed, non-negative(1,1)$(1,1)$-form. We show that when a twisted Kähler–Einstein metric exists, then this twisted flow converges exponentially. This generalizes a result of Perelman on the convergence of the Kähler–Ricci flow, and it builds on work of Tian–Zhu.
- University of Notre Dame United States
- King’s University United States
Mathematics - Differential Geometry, exponentially fast convergence, Kähler-Einstein metric, Fano varieties, evolution equation, normalized twisted Kähler-Ricci flow, 53C25 (Primary) 53C55 (Secondary), Global differential geometry of Hermitian and Kählerian manifolds, compact Kähler manifold, Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
Mathematics - Differential Geometry, exponentially fast convergence, Kähler-Einstein metric, Fano varieties, evolution equation, normalized twisted Kähler-Ricci flow, 53C25 (Primary) 53C55 (Secondary), Global differential geometry of Hermitian and Kählerian manifolds, compact Kähler manifold, Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
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