127 citations · 350 across the 23 of their papers we have counts for
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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
Rigidity of Homogeneous Gradient Soliton Metrics and Related Equations
Peter Petersen, William Wylie
We prove structure results for homogeneous spaces that support a non-constant solution to two general classes of equations involving the Hessian of a function and an invariant 2-te…
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.