Manifolds with almost nonnegative curvature operator
Geometric Flows in Riemannian and Complex Geometry May 02, 2016 - May 06, 2016
Location: SLMath: Eisenbud Auditorium
complex geometry
Riemannian geometry
geometric analysis
geometric flow
nonnegative curvature
curvature estimates
curvature operators
Green's functions
51D25 - Lattices of subspaces and geometric closure systems [See also 05B35]
51D30 - Continuous geometries, geometric closure systems and related topics [See also 06Cxx]
32C11 - Complex supergeometry [See also 14A22, 14M30, 58A50]
14497
We show that n-manifolds with a lower volume bound v and upper diameter D bound whose curvature operator is bounded below by −ε(n,v,D) also admit metrics with nonnegative curvature operator. The proof relies on heat kernel estimates for the Ricci flow and shows that various smoothing properties of the Ricci flow remain valid if an upper curvature bound is replaced by a lower volume bound
Wilking.Notes
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14497
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