Local Generalized Symmetries and Locally Symmetric Parabolic Geometries
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Local Generalized Symmetries and Locally Symmetric Parabolic Geometries
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| Creator |
Gregorovič, J.
Zalabová, L. |
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| Description |
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.
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| Date |
2019-02-18T16:45:23Z
2019-02-18T16:45:23Z 2017 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 53C10; 53C22; 53C15; 53C05; 53B15; 53A55 DOI:10.3842/SIGMA.2017.032 http://dspace.nbuv.gov.ua/handle/123456789/148627 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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