An Interpolating Curvature Condition Preserved By Ricci Flow
Abstract
In this paper, we firstly establish an Interpolating curvature invariance between the well known nonnegative and 2-non-negative curvature invariant along the Ricci flow. Then a related strong maximum principle for the (λ1, λ2)-nonnegativity is also derived along Ricci flow. Based on these, finally we obtain a rigidity property of manifolds with (λ1,λ2)-nonnegative curvature operators.
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