Lightlike hypersurfaces on a four-dimensional manifold endowed with a pseudoconformal structure of signature (2, 2)

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dc.creatorAkivis, Maks A.
dc.creatorGoldberg, Vladislav V.
dc.date1999-02-24
dc.date.accessioned2026-07-07T05:28:01Z
dc.date.available2026-07-07T05:28:01Z
dc.descriptionThe authors study the geometry of lightlike hypersurfaces on a four-dimensional manifold $(M, c)$ endowed with a pseudoconformal structure $c = CO (2, 2)$. They prove that a lightlike hypersurface $V \subset (M, c)$ bears a foliation formed by conformally invariant isotropic geodesics and two isotropic distributions tangent to these geodesics, and that these two distributions are integrable if and only if $V$ is totally umbilical. The authors also indicate how, using singular points and singular submanifolds of a lightlike hypersurface $V \subset (M, c)$, to construct an invariant normalization of $V$ intrinsically connected with $V$.
dc.descriptionLaTeX, 23 pages
dc.identifierhttps://arxiv.org/abs/math/9902140
dc.identifierhttp://arxiv.org/abs/math/9902140
dc.identifierAtti Congr Intern in honour of Pasquale Calapso (Messina, 1998), Palermo, 2000, pp. 159-190
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78145
dc.subjectDifferential Geometry
dc.subject53A30 (Primary) 53B25 (Secondary)
dc.titleLightlike hypersurfaces on a four-dimensional manifold endowed with a pseudoconformal structure of signature (2, 2)
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