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December 2008 A Fixed Point Formula for $0$-pseudofree $S^1$-actions on K\"ahler Manifolds of Constant Scalar Curvature
Kenji TSUBOI
Tokyo J. Math. 31(2): 541-550 (December 2008). DOI: 10.3836/tjm/1233844069

Abstract

Let $M$ be an $m$-dimensional compact complex manifold and $\Omega$ a Kähler class of $M$. Assume that $M$ admits an $\Omega$-preserving $0$-pseudofree $S^1$-action and that $\Omega$ contains a Kähler metric of constant scalar curvature. Then using the fixed point formula for the Bando-Calabi-Futaki character obtained in [5], we can obtain information on the fixed point data of the $S^1$-action. Our main result is Theorem 2.

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Kenji TSUBOI. "A Fixed Point Formula for $0$-pseudofree $S^1$-actions on K\"ahler Manifolds of Constant Scalar Curvature." Tokyo J. Math. 31 (2) 541 - 550, December 2008. https://doi.org/10.3836/tjm/1233844069

Information

Published: December 2008
First available in Project Euclid: 5 February 2009

zbMATH: 1192.32013
MathSciNet: MR2477889
Digital Object Identifier: 10.3836/tjm/1233844069

Rights: Copyright © 2008 Publication Committee for the Tokyo Journal of Mathematics

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Vol.31 • No. 2 • December 2008
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