Lower bounds on the Calabi functional

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dc.creatorDonaldson, S. K.
dc.date2005-06-24
dc.date.accessioned2026-07-07T05:21:08Z
dc.date.available2026-07-07T05:21:08Z
dc.descriptionThe main result of this paper shows that "test configurations" give new lower bounds on the $L^{2}$ norm of the scalar curvature on a Kahler manifold. This is closely analogous to the analysis of the Yang-Mills functional over Riemann surfaces by Atiyah and Bott. The proof uses asymptotic approximation by finite-dimensional problems: the essential ingredient being the Tian-Zelditch-Lu expansion of the "density of states" function.
dc.identifierhttps://arxiv.org/abs/math/0506501
dc.identifierhttp://arxiv.org/abs/math/0506501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75578
dc.subjectDifferential Geometry
dc.titleLower bounds on the Calabi functional
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