Balanced metrics on uniruled manifolds

Ionut Chiose; Rares Rasdeaconu; Ioana Suvaina

Balanced metrics on uniruled manifolds

Differential Geometry 2016-10-11 v2 Algebraic Geometry Complex Variables

Authors: Ionut Chiose , Rares Rasdeaconu , Ioana Suvaina

Abstract

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.

Keywords

riemannian geometry manifolds

Cite

@article{arxiv.1408.4769,
  title  = {Balanced metrics on uniruled manifolds},
  author = {Ionut Chiose and Rares Rasdeaconu and Ioana Suvaina},
  journal= {arXiv preprint arXiv:1408.4769},
  year   = {2016}
}

Comments

several changes suggested by the referee, improved presentation

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