Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2020
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2006.01355 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916155888762880 |
|---|---|
| author | Cao, Huai-Dong Sun, Xiaofeng Yau, Shing-Tung Zhang, Yingying |
| author_facet | Cao, Huai-Dong Sun, Xiaofeng Yau, Shing-Tung Zhang, Yingying |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_01355 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On Deformations of Fano Manifolds Cao, Huai-Dong Sun, Xiaofeng Yau, Shing-Tung Zhang, Yingying Differential Geometry 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. |
| title | On Deformations of Fano Manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2006.01355 |