Harry Fluck - Profile on Academia.edu (original) (raw)
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Papers by Harry Fluck
arXiv (Cornell University), Mar 30, 2023
This article aims to understand the behavior of the curvature operator of the second kind under t... more This article aims to understand the behavior of the curvature operator of the second kind under the Ricci flow in dimension three. First, we express the eigenvalues of the curvature operator of the second kind explicitly in terms of that of the curvature operator (of the first kind). Second, we prove that α-positive/α-nonnegative curvature operator of the second kind is preserved by the Ricci flow in dimension three for all α ∈ [1, 5].
arXiv (Cornell University), Mar 30, 2023
This article aims to understand the behavior of the curvature operator of the second kind under t... more This article aims to understand the behavior of the curvature operator of the second kind under the Ricci flow in dimension three. First, we express the eigenvalues of the curvature operator of the second kind explicitly in terms of that of the curvature operator (of the first kind). Second, we prove that α-positive/α-nonnegative curvature operator of the second kind is preserved by the Ricci flow in dimension three for all α ∈ [1, 5].