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Dettagli Bibliografici
Autori principali: Cao, Huai-Dong, Sun, Xiaofeng, Yau, Shing-Tung, Zhang, Yingying
Natura: Preprint
Pubblicazione: 2020
Soggetti:
Accesso online:https://arxiv.org/abs/2006.01355
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Sommario:
  • In this paper we provide new necessary and sufficient conditions for the existence of Kähler-Einstein metrics on small deformations of a Fano Kähler-Einstein manifold. We also show that the Weil-Petersson metric can be approximated by the Ricci curvatures of the canonical $L^2$ metrics on the direct image bundles. In addition, we describe the plurisubharmonicity of the energy functional of harmonic maps on the Kuranishi space of the deformation of compact Kähler-Einstein manifolds of general type.