Flat Metrics with a Prescribed Derived Coframing
The following problem is addressed: A 3-manifold M is endowed with a triple Ω=(Ω¹, Ω², Ω³) of closed 2-forms. One wants to construct a coframing ω=(ω¹, ω², ω³) of M such that, first, dωi=Ωi for i=1,2,3, and, second, the Riemannian metric g = (ω¹)² +(ω²)²+(ω³)² be flat. We show that, in the 'n...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210606 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Flat Metrics with a Prescribed Derived Coframing. Robert L. Bryant and Jeanne N. Clelland. SIGMA 16 (2020), 004, 23 pages |