Harmonic total Chern forms and stability

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In this paper we will perturb the scalar curvature of compact Kahler 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.
20 pages, to appear in Kodai Mathematical Journal

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Differential Geometry, Symplectic Geometry, 53C55, 53C21

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http://salesiana.dossiersoluciones.com/handle/123456789/110366

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603706
 http://arxiv.org/abs/math/0603706

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arXiv