Pointwise isomorphic smooth families of projective non-uniruled manifolds over a Riemann surface are locally isomorphic over a dense open subset of the base.
A characterization of uniruled compact K \"ahler manifolds
3 Pith papers cite this work. Polarity classification is still indexing.
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Uniform weak RC-positivity of TX on a compact Kähler manifold X implies X is projective and rationally connected; the same condition on any holomorphic vector bundle E yields a Hermitian metric with positive mean curvature.
Non-projective compact Kähler contact manifolds are projectivized tangent bundles of compact Kähler manifolds.
citing papers explorer
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Local isomorphisms for families of projective non-unruled manifolds
Pointwise isomorphic smooth families of projective non-uniruled manifolds over a Riemann surface are locally isomorphic over a dense open subset of the base.
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Uniform weak RC-positivity and rational connectedness
Uniform weak RC-positivity of TX on a compact Kähler manifold X implies X is projective and rationally connected; the same condition on any holomorphic vector bundle E yields a Hermitian metric with positive mean curvature.
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Compact K\"ahler contact manifolds
Non-projective compact Kähler contact manifolds are projectivized tangent bundles of compact Kähler manifolds.