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math.DG2020★ 8 cited
Estimation and Vanishing Results for Hodge numbers
Peter Petersen, Matthias Wink
We show that compact Kähler manifolds have the rational cohomology ring of complex projective space provided a weighted sum of the lowest three eigenvalues of the Kähler curvature…
math.DG2020★ 5 cited
The Bochner Technique and Weighted Curvatures
Peter Petersen, Matthias Wink
In this note we study the Bochner formula on smooth metric measure spaces. We introduce weighted curvature conditions that imply vanishing of all Betti numbers.