Kodai Mathematical Journal
- Kodai Math. J.
- Volume 29, Number 3 (2006), 346-369.
Harmonic total Chern forms and stability
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.
Kodai Math. J., Volume 29, Number 3 (2006), 346-369.
First available in Project Euclid: 2 November 2006
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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