Kodai Mathematical Journal

Harmonic total Chern forms and stability

Akito Futaki

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Abstract

In this paper we will perturb the scalar curvature of compact Kähler manifolds by incorporating it with higher Chern forms, and then show that the perturbed scalar curvature has many common properties with the unperturbed scalar curvature. In particular the perturbed scalar curvature becomes a moment map, with respect to a perturbed symplectic structure, on the space of all complex structures on a fixed symplectic manifold, which extends the results of Donaldson and Fujiki on the unperturbed case.

Article information

Source
Kodai Math. J., Volume 29, Number 3 (2006), 346-369.

Dates
First available in Project Euclid: 2 November 2006

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1162478767

Digital Object Identifier
doi:10.2996/kmj/1162478767

Mathematical Reviews number (MathSciNet)
MR2278771

Zentralblatt MATH identifier
1133.53051

Citation

Futaki, Akito. Harmonic total Chern forms and stability. Kodai Math. J. 29 (2006), no. 3, 346--369. doi:10.2996/kmj/1162478767. https://projecteuclid.org/euclid.kmj/1162478767


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