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| Главный автор: | |
|---|---|
| Формат: | Preprint |
| Опубликовано: |
2020
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| Предметы: | |
| Online-ссылка: | https://arxiv.org/abs/2004.03536 |
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Оглавление:
- In this paper, we show that if $(X,g)$ is an oriented four dimensional Einstein manifold which is self-dual or anti-self-dual then superminimal surfaces in $X$ of appropriate spin enjoy the Calabi-Yau property, meaning that every immersed surface of this type from a bordered Riemann surface can be uniformly approximated by complete superminimal surfaces with Jordan boundaries. The proof uses the theory of twistor spaces and the Calabi-Yau property of holomorphic Legendrian curves in complex contact manifolds.