On the theory of almost Grassmann structures

Simple item page
dc.creatorAkivis, Maks A.
dc.creatorGoldberg, Vladislav V.
dc.date1998-05-23
dc.date.accessioned2026-07-07T05:24:50Z
dc.date.available2026-07-07T05:24:50Z
dc.descriptionThe differential geometry of almost Grassmann structures defined on a differentiable manifold of dimension n = pq by a fibration of Segre cones SC (p, q) is studied. The peculiarities in the structure of almost Grassmann structures for the cases p=q=2; p = 2, q > 2 (or p > 2, q = 2), and p > 2, q > 2 are clarified. The fundamental geometric objects of these structures up to fourth order are derived. The conditions under which an almost Grassmann structure is locally flat or locally semiflat are found for all cases indicated above.
dc.descriptionLaTeX, 38 pages; to be published in Proceedings of the International Conference on Differential Geometry (Eotvos University, Budapest, 1996), Kluwer Academic Publishers, 1998
dc.identifierhttps://arxiv.org/abs/math/9805109
dc.identifierhttp://arxiv.org/abs/math/9805109
dc.identifierProc. Conf. Dif. Geom. Budapest 1996, Kluwer 1999 1-37
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76958
dc.subjectDifferential Geometry
dc.subject53C15 (Primary) 53C10 (Secondary)
dc.titleOn the theory of almost Grassmann structures
dc.typetext

Files

Collections

arXiv