Diameter estimates in Kähler geometry II: removing the small degeneracy assumption
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916263692861440 |
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| author | Guo, Bin Phong, Duong H. Song, Jian Sturm, Jacob |
| author_facet | Guo, Bin Phong, Duong H. Song, Jian Sturm, Jacob |
| contents | In this short note, we remove the small degeneracy assumption in our earlier works [10, 11]. This is achieved by a technical improvement of Corollary 5.1 in [10]. As a consequence, we establish the same geometric estimates for diameter, Green's functions and Sobolev inequalities under an entropy bound for the Kähler metrics, without any small degeneracy assumption. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_18280 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diameter estimates in Kähler geometry II: removing the small degeneracy assumption Guo, Bin Phong, Duong H. Song, Jian Sturm, Jacob Differential Geometry Analysis of PDEs Complex Variables In this short note, we remove the small degeneracy assumption in our earlier works [10, 11]. This is achieved by a technical improvement of Corollary 5.1 in [10]. As a consequence, we establish the same geometric estimates for diameter, Green's functions and Sobolev inequalities under an entropy bound for the Kähler metrics, without any small degeneracy assumption. |
| title | Diameter estimates in Kähler geometry II: removing the small degeneracy assumption |
| topic | Differential Geometry Analysis of PDEs Complex Variables |
| url | https://arxiv.org/abs/2405.18280 |