Harmonic total Chern forms and stability

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dc.creatorFutaki, Akito
dc.date2006-03-30
dc.date2006-06-27
dc.date.accessioned2026-07-07T07:07:22Z
dc.date.available2026-07-07T07:07:22Z
dc.descriptionIn 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.
dc.description20 pages, to appear in Kodai Mathematical Journal
dc.identifierhttps://arxiv.org/abs/math/0603706
dc.identifierhttp://arxiv.org/abs/math/0603706
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110366
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53C55, 53C21
dc.titleHarmonic total Chern forms and stability
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