Higher-order and Weil generalization of Grassmannian
| dc.contributor.author | Tomáš, Jiří | cs |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 43 | cs |
| dc.date.issued | 2023-01-16 | cs |
| dc.description.abstract | We give a simple mechanical motivation for a generalization of the classical Grassmannian considered as a space of m-dimensional linear subspaces of Rk to higher-orders cases. Our efforts are prolongated to the Weil functor theory, motivated by non-holonomic and semi-holonomic jets, applicable in the description of the Cosserat model. | en |
| dc.format | text | cs |
| dc.format.extent | 65-70 | cs |
| dc.format.mimetype | application/pdf | cs |
| dc.identifier.citation | Procedia Structural Integrity. 2023, vol. 43, issue 1, p. 65-70. | en |
| dc.identifier.doi | 10.1016/j.prostr.2022.12.236 | cs |
| dc.identifier.issn | 2452-3216 | cs |
| dc.identifier.orcid | 0000-0001-6381-7948 | cs |
| dc.identifier.other | 181400 | cs |
| dc.identifier.uri | http://hdl.handle.net/11012/213731 | |
| dc.language.iso | en | cs |
| dc.publisher | Elsevier | cs |
| dc.relation.ispartof | Procedia Structural Integrity | cs |
| dc.relation.uri | https://authors.elsevier.com/sd/article/S2452-3216(22)00799-5 | cs |
| dc.rights | Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International | cs |
| dc.rights.access | openAccess | cs |
| dc.rights.sherpa | http://www.sherpa.ac.uk/romeo/issn/2452-3216/ | cs |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | cs |
| dc.subject | jet | en |
| dc.subject | bundle functor | en |
| dc.subject | Weil functor | en |
| dc.subject | Lie group | en |
| dc.subject | jet group | en |
| dc.subject | principal bundle | en |
| dc.subject | homogeneous space | en |
| dc.title | Higher-order and Weil generalization of Grassmannian | en |
| dc.type.driver | conferenceObject | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| sync.item.dbid | VAV-181400 | en |
| sync.item.dbtype | VAV | en |
| sync.item.insts | 2025.02.03 15:48:55 | en |
| sync.item.modts | 2025.01.17 15:20:07 | en |
| thesis.grantor | Vysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematiky | cs |
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