Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes
Differential forms on Lorentzian spacetimes are a well-established subject. On Galilean and Carrollian spacetimes, it does not seem to be quite so. This may be due to the absence of the Hodge star operator. There are, however, potentially useful analogs of the Hodge star operator also on the last tw...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211919 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes. Marián Fecko. SIGMA 19 (2023), 024, 24 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862577716534968320 |
|---|---|
| author | Fecko, Marián |
| author_facet | Fecko, Marián |
| citation_txt | Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes. Marián Fecko. SIGMA 19 (2023), 024, 24 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Differential forms on Lorentzian spacetimes are a well-established subject. On Galilean and Carrollian spacetimes, it does not seem to be quite so. This may be due to the absence of the Hodge star operator. There are, however, potentially useful analogs of the Hodge star operator also on the last two spacetimes, namely, intertwining operators between corresponding representations on forms. Their use could perhaps make differential forms as attractive a tool for physics on Galilean and Carrollian spacetimes as forms on Lorentzian spacetimes definitely proved to be.
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| first_indexed | 2026-03-13T15:26:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211919 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T15:26:39Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Fecko, Marián 2026-01-16T11:19:38Z 2023 Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes. Marián Fecko. SIGMA 19 (2023), 024, 24 pages 1815-0659 2020 Mathematics Subject Classification: 53Z05; 83C99; 22E70 arXiv:2206.11138 https://nasplib.isofts.kiev.ua/handle/123456789/211919 https://doi.org/10.3842/SIGMA.2023.024 Differential forms on Lorentzian spacetimes are a well-established subject. On Galilean and Carrollian spacetimes, it does not seem to be quite so. This may be due to the absence of the Hodge star operator. There are, however, potentially useful analogs of the Hodge star operator also on the last two spacetimes, namely, intertwining operators between corresponding representations on forms. Their use could perhaps make differential forms as attractive a tool for physics on Galilean and Carrollian spacetimes as forms on Lorentzian spacetimes definitely proved to be. The author acknowledges support from grant VEGA 1/0703/20 and sincerely thanks the anonymous referees whose remarks contributed to the quality of the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes Article published earlier |
| spellingShingle | Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes Fecko, Marián |
| title | Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes |
| title_full | Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes |
| title_fullStr | Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes |
| title_full_unstemmed | Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes |
| title_short | Some Useful Operators on Differential Forms on Galilean and Carrollian Spacetimes |
| title_sort | some useful operators on differential forms on galilean and carrollian spacetimes |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211919 |
| work_keys_str_mv | AT feckomarian someusefuloperatorsondifferentialformsongalileanandcarrollianspacetimes |