13 citations · 34 across the 8 of their papers we have counts for
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Reduction of manifolds with semi-negative holomorphic sectional curvature
Gordon Heier, Steven S. Y. Lu, Bun Wong +1
In this note, we continue the investigation of a projective Kähler manifold of semi-negative holomorphic sectional curvature . We introduce a new differential geometric nume…
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…
Kähler manifolds of semi-negative holomorphic sectional curvature
Gordon Heier, Steven S. Y. Lu, Bun Wong
In an earlier work, we investigated some consequences of the existence of a Kähler metric of negative holomorphic sectional curvature on a projective manifold. In the present work,…
Scalar curvature and uniruledness on projective manifolds
Gordon Heier, Bun Wong
It is a basic tenet in complex geometry that {\it negative} curvature corresponds, in a suitable sense, to the absence of rational curves on, say, a complex projective manifold, wh…
On the canonical line bundle and negative holomorphic sectional curvature
Gordon Heier, Steven S. Y. Lu, Bun Wong
We prove that a smooth complex projective threefold with a Kähler metric of negative holomorphic sectional curvature has ample canonical line bundle. In dimensions greater than thr…