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Rigidity in sharp eigenvalue estimates for differential forms

Chow, Tsz-Kiu Aaron et al.
arXiv (All) · Papers
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differential-geometryspectral-theory
For $1\leq p\leq n/2$, we derive sharp eigenvalue estimates for the Hodge Laplacian on differential $p$-forms under the curvature condition introduced by Petersen and Wink, and study their equality cases. Equality recovers the stronger curvature operator lower bound and, in the closed case, leaves o
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