Balanced metrics on uniruled manifolds
We show that an $n-$dimensional Moishezon manifold is uniruled if and only if it supports a balanced metric $\omega^{n-1}$ of positive total scalar Chern curvature. A similar statement also holds true for class $\mathcal C$ manifolds of dimension three.
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creator | Chiose, Ionut Rasdeaconu, Rares Suvaina, Ioana |
description | We show that an $n-$dimensional Moishezon manifold is uniruled if and only if
it supports a balanced metric $\omega^{n-1}$ of positive total scalar Chern
curvature. A similar statement also holds true for class $\mathcal C$ manifolds
of dimension three. |
doi_str_mv | 10.48550/arxiv.1408.4769 |
format | Article |
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it supports a balanced metric $\omega^{n-1}$ of positive total scalar Chern
curvature. A similar statement also holds true for class $\mathcal C$ manifolds
of dimension three.</abstract><doi>10.48550/arxiv.1408.4769</doi><oa>free_for_read</oa></addata></record> |
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subjects | Mathematics - Algebraic Geometry Mathematics - Complex Variables Mathematics - Differential Geometry |
title | Balanced metrics on uniruled manifolds |
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