تقرير
Almost contact structures on the set of rational curves in a 4-dimensional twistor space
| العنوان: | Almost contact structures on the set of rational curves in a 4-dimensional twistor space |
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| المؤلفون: | Teruya, M. |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C28(Primary), 53D15(Secondary) |
| الوصف: | In this paper, we provide a correspondence between certain 5-dimensional complex spacetimes and 4-dimensional twistor spaces. The spacetimes are almost contact manifolds whose curvature tensor satisfies certain conditions. By using the correspondence, we show that a 5-dimensional K-contact manifold can be obtained from the Ren-Wang twistor space, which is obtained from two copies of \C^4 identifying open subsets by a holomorphic map. From this result, the Ren-Wang twistor space can be interpreted in the framework of Itoh. Comment: 37 pages with 2figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2206.13151 |
| رقم الأكسشن: | edsarx.2206.13151 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |