Locally Conformal Kähler and Hermitian Yang-Mills Metrics

Abstract

The author shows that if a locally conformal Kähler metric is Hermitian Yang-Mills with respect to itself with Einstein constant c ≤ 0, then it is a Kahler-Einstein metric. In the case of c > 0, some identities on torsions and an inequality on the second Chern number are derived.

Keywords

Hermitian Yang-Mills metric / Locally conformal Kähler metric / Torsion / Chern number inequality

References

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