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math.AG2015
On projective Kähler manifolds of partially positive curvature and rational connectedness
Gordon Heier, Bun Wong
In a previous paper, we proved that a projective Kähler manifold of positive total scalar curvature is uniruled. At the other end of the spectrum, it is a well-known theorem of Cam…
math.DG2015★ 1 cited
Optimal pinching for the holomorphic sectional curvature of Hitchin's metrics on Hirzebruch surfaces
Angelynn Alvarez, Ananya Chaturvedi, Gordon Heier
The main result of this note is that, for each , there exists a Hodge metric on the -th Hirzebruch surface whose positive holomorphic sectional curvature…