Conformal and Grassmann structures
| العنوان: | Conformal and Grassmann structures |
|---|---|
| المؤلفون: | Maks A. Akivis, Vladislav V. Goldberg |
| سنة النشر: | 1998 |
| مصطلحات موضوعية: | Conformal structure, Mathematics - Differential Geometry, Pure mathematics, geometric object, Integrable system, integrable almost Grassmann structure, Conformal map, structure group, 53A30, 53C15 (Primary) 53C10 (Secondary), Combinatorics, Grassmann structure, Grassmann number, Differential Geometry (math.DG), Computational Theory and Mathematics, Grassmannian, FOS: Mathematics, Geometry and Topology, Invariant (mathematics), Analysis, almost Grassmann structure, Mathematics, semiintegrable almost Grassmann structure |
| الوصف: | The main results on the theory of conformal and almost Grassmann structures are presented. The common properties of these structures and also the differences between them are outlined. In particular, the structure groups of these structures and their differential prolongations are found. A complete system of geometric objects of the almost Grassmann structure totally defining its geometric structure is determined. The vanishing of these objects determines a locally Grassmann manifold. It is proved that the integrable almost Grassmann structures are locally Grassmann. The criteria of semiintegrability of almost Grassmann structures is proved in invariant form. LaTeX, 25 pages |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::526e4eb92f3a3c725076d1a7a1844456 http://arxiv.org/abs/math/9805107 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....526e4eb92f3a3c725076d1a7a1844456 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |