Tohoku Mathematical Journal
2001

December
SECOND SERIES VOL. 53, NO. 4

Tohoku Math. J.
53 (2001), 479-490

Title BANDO-CALABI-FUTAKI CHARACTERS OF COMPACT TORIC MANIFOLDS

Author Yasuhiro Nakagawa

(Received November 24, 1999, revised August 28, 2000)
Abstract. The Bando-Calabi-Futaki character of a compact Kähler manifold is an obstruction to the existence of Kähler metrics with constant scalar curvature, which is a generalization of the Futaki character of a Fano manifold. In this paper, we study the Bando-Calabi-Futaki character of a compact toric manifold. In particular, we shall prove that the Bando-Calabi-Futaki character of a compact toric manifold vanishes on the Lie algebra of the unipotent radical of the automorphism group.

2000 Mathematics Subject Classification. Primary 32Q20; Secondary 14M25, 32M05.

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