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періодичних видань НАН України
Local Generalized Symmetries and Locally Symmetric Parabolic Geometries
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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| dc.contributor.author | Gregorovič, J. | |
| dc.contributor.author | Zalabová, L. | |
| dc.date.accessioned | 2019-02-18T16:45:23Z | |
| dc.date.available | 2019-02-18T16:45:23Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Local Generalized Symmetries and Locally Symmetric Parabolic Geometries / J. Gregorovič, L. Zalabová // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 25 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 53C10; 53C22; 53C15; 53C05; 53B15; 53A55 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2017.032 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/148627 | |
| dc.description.abstract | We investigate (local) automorphisms of parabolic geometries that generalize geodesic symmetries. We show that many types of parabolic geometries admit at most one generalized geodesic symmetry at a point with non-zero harmonic curvature. Moreover, we show that if there is exactly one symmetry at each point, then the parabolic geometry is a generalization of an affine (locally) symmetric space. | uk_UA |
| dc.description.sponsorship | JG supported by the Grant agency of the Czech Republic under the grant GBP201/12/G028. The authors would like to thank the anonymous referees for their valuable comments which helped to improve the manuscript. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Local Generalized Symmetries and Locally Symmetric Parabolic Geometries | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
