Minimizing weak solutions for calabi's extremal metrics on toric manifolds

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In this paper, we discuss a Donaldson's version of the modified $K$-energy associated to the Calabi's extremal metrics on toric manifolds and prove the existence of the weak solution for extremal metrics in the sense of convex functions which minimizes the modified $K$-energy.
28 pages, 3 figures

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Differential Geometry, Analysis of PDEs, 53C25; 32J15

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http://salesiana.dossiersoluciones.com/handle/123456789/119141

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611099
 http://arxiv.org/abs/math/0611099

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arXiv