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Remarks on screen integrable null hypersurfaces in Lorentzian manifolds
Samuel Ssekajja School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg-South Africa
Аннотация:
In the present paper, we show that the geometry of a screen integrable null hypersurface can be generated from an isometric immersion of a leaf of its screen distribution into the ambient space. We prove, under certain geometric conditions, that such immersions are contained in semi-Euclidean spheres or hyperbolic spaces, and the underlying null hypersurfaces are necessarily umbilic and screen totally umbilic. Where necessary, the examples are given to illustrate the main ideas.
Ключевые слова и фразы:
screen integrable null hypersurfaces, normal curvature tensor of a leaf.
Поступила в редакцию: 23.09.2019 Исправленный вариант: 20.02.2020
Образец цитирования:
Samuel Ssekajja, “Remarks on screen integrable null hypersurfaces in Lorentzian manifolds”, Журн. матем. физ., анал., геом., 16:4 (2020), 460–472
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag767 https://www.mathnet.ru/rus/jmag/v16/i4/p460
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Страница аннотации: | 98 | PDF полного текста: | 43 | Список литературы: | 12 |
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