POSITIVITY OF RICCI CURVATURE UNDER THE KÄHLER–RICCI FLOW
Copyright policy )POSITIVITY OF RICCI CURVATURE UNDER THE KÄHLER–RICCI FLOW
In each complex dimension n ≥ 2, we construct complete Kähler manifolds of bounded curvature and non-negative Ricci curvature whose Kähler–Ricci evolutions immediately acquire Ricci curvature of mixed sign.
- The University of Texas at Austin United States
- University of Iowa United States
Mathematics - Differential Geometry, Ricci curvature, Differential Geometry (math.DG), FOS: Mathematics, Global differential geometry of Hermitian and Kählerian manifolds, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Kähler manifolds, 53C44, Geometric evolution equations (mean curvature flow, Ricci flow, etc.), Kähler--Ricci flow, invariant and attractive curvature cones
Mathematics - Differential Geometry, Ricci curvature, Differential Geometry (math.DG), FOS: Mathematics, Global differential geometry of Hermitian and Kählerian manifolds, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Kähler manifolds, 53C44, Geometric evolution equations (mean curvature flow, Ricci flow, etc.), Kähler--Ricci flow, invariant and attractive curvature cones
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