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Inclusions between Parabolic Geometries
| Content Provider | Semantic Scholar |
|---|---|
| Author | Doubrov, Boris Slovak, Jan |
| Copyright Year | 2008 |
| Abstract | Abstract: Some of the well known Fefferman like constructions of parabolic geometries end up with a new structure on the same manifold. In this paper, we classify all such cases with the help of the classical Onishchik’s lists [10] and we treat the only new series of inclusions in detail, providing the spinorial structures on the manifolds with generic free distributions. Our technique relies on the cohomological understanding of the canonical normal Cartan connections for parabolic geometries and the classical computations with exterior forms. Apart of the complete discussion of the distributions from the geometrical point of view and the new functorial construction of the inclusion into the spinorial geometry, we also discuss the normality problem of the resulting spinorial connections. In particular, there is a non–trivial subclass of distributions providing normal spinorial connections directly by the construction. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.intlpress.com/site/pub/files/_fulltext/journals/pamq/2010/0006/0003/PAMQ-2010-0006-0003-a007.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0807.3360v2.pdf |
| Alternate Webpage(s) | http://www.math.muni.cz/~slovak/Papers/inclusions.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0807.3360v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Computation Inclusion Bodies Normality Unit Parabolic antenna Point of View (computer hardware company) Spinor Whole Earth 'Lectronic Link manifold subclass |
| Content Type | Text |
| Resource Type | Article |
