Octonionic Calabi-Yau theorem
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866929347240132608 |
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| author | Alesker, Semyon Gordon, Peter |
| author_facet | Alesker, Semyon Gordon, Peter |
| contents | A new class of Riemannian metrics, called octonionic Kähler, is introduced and studied on a certain class of 16-dimensional manifolds. It is an octonionic analogue of Kähler metrics on complex manifolds and of HKT-metrics of hypercomplex manifolds. Then for this class of metrics an octonionic version of the Monge-Ampère equation is introduced and solved under appropriate assumptions. The latter result is an octonionic version of the Calabi-Yau theorem from Kähler geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_07857 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Octonionic Calabi-Yau theorem Alesker, Semyon Gordon, Peter Differential Geometry Analysis of PDEs A new class of Riemannian metrics, called octonionic Kähler, is introduced and studied on a certain class of 16-dimensional manifolds. It is an octonionic analogue of Kähler metrics on complex manifolds and of HKT-metrics of hypercomplex manifolds. Then for this class of metrics an octonionic version of the Monge-Ampère equation is introduced and solved under appropriate assumptions. The latter result is an octonionic version of the Calabi-Yau theorem from Kähler geometry. |
| title | Octonionic Calabi-Yau theorem |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2212.07857 |