First and second cohomology group of a bu ndle
Let (E, π, M) be a vector bundle. We define two cohomology groups associated to π using the first and second order jet manifolds of this bundle. We prove that one of them is isomorphic with a Čech cohomology group of the base space. The particular case of trivial bundle is studied
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| Format: | Article |
| Language: | English |
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Sciendo
2012-06-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/v10309-012-0041-4 |
| _version_ | 1818308736862650368 |
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| author | Manea Adelina |
| author_facet | Manea Adelina |
| author_sort | Manea Adelina |
| collection | DOAJ |
| description | Let (E, π, M) be a vector bundle. We define two cohomology groups associated to π using the first and second order jet manifolds of this bundle. We prove that one of them is isomorphic with a Čech cohomology group of the base space. The particular case of trivial bundle is studied |
| first_indexed | 2024-12-13T07:19:01Z |
| format | Article |
| id | doaj.art-a6000f1abee34a00943468e825e6a2e0 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-13T07:19:01Z |
| publishDate | 2012-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-a6000f1abee34a00943468e825e6a2e02022-12-21T23:55:28ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352012-06-01202717810.2478/v10309-012-0041-4First and second cohomology group of a bu ndleManea Adelina0Department of Mathematics, University of Brasov, RomaniaLet (E, π, M) be a vector bundle. We define two cohomology groups associated to π using the first and second order jet manifolds of this bundle. We prove that one of them is isomorphic with a Čech cohomology group of the base space. The particular case of trivial bundle is studiedhttps://doi.org/10.2478/v10309-012-0041-4cohomologyjet manifolds |
| spellingShingle | Manea Adelina First and second cohomology group of a bu ndle Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica cohomology jet manifolds |
| title | First and second cohomology group of a bu ndle |
| title_full | First and second cohomology group of a bu ndle |
| title_fullStr | First and second cohomology group of a bu ndle |
| title_full_unstemmed | First and second cohomology group of a bu ndle |
| title_short | First and second cohomology group of a bu ndle |
| title_sort | first and second cohomology group of a bu ndle |
| topic | cohomology jet manifolds |
| url | https://doi.org/10.2478/v10309-012-0041-4 |
| work_keys_str_mv | AT maneaadelina firstandsecondcohomologygroupofabundle |