Matthias Wink

activity

20172026

most citedNew Curvature Conditions for the Bochner Technique

30 citations · 101 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.DG2026

A vanishing result for harmonic $(n - 1, 1)$ -forms

Matthias Wink

We prove that every primitive harmonic $(n - 1, 1)$ -form of a closed Kähler manifold of complex dimension $n$ vanishes provided its Kähler curvature operator is $\frac{n ^{2} - n + 2}{2}$ -po…

math.DG2026

A Thorpe Trick for the Bochner Technique

Matthias Wink

We prove that for $n \geq 6$ there exists $ε (n) > 0$ such that every closed orientable Riemannian manifold with $(⌈ \frac{n}{2} ⌉ + ε)$ -posi…

math.DG2026

A characterization of complex projective space via the Calabi curvature operator

Hasan M. El-Hasan, Xiaolong Li, Jan Nienhaus +3

We prove a Tachibana-type result for Kähler-Einstein manifolds isolating complex projective space based on its Calabi curvature operator. The proof uses a new Bochner formula expre…

A vanishing result for harmonic (n−1,1)-forms

A Thorpe Trick for the Bochner Technique

A characterization of complex projective space via the Calabi curvature operator

A vanishing result for harmonic $(n - 1, 1)$ -forms