Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
BANDO-CALABI-FUTAKI CHARACTER OF COMPACT TORIC MANIFOLDS
YASUHIRO NAKAGAWA
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2001 Volume 53 Issue 4 Pages 479-490

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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.
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© 2001 by THE TOHOKU UNIVERSITY
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