Nonlinear connections and spinor geometry
We present an introduction to the geometry of higher-order vector and covector bundles (including higher-order generalizations of the Finsler geometry and Kaluza-Klein gravity) and review the basic results on Clifford and spinor structures on spaces with generic local anisotropy modeled by anholon...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204212170 |
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| _version_ | 1832551586287583232 |
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| author | Sergiu I. Vacaru Nadejda A. Vicol |
| author_facet | Sergiu I. Vacaru Nadejda A. Vicol |
| author_sort | Sergiu I. Vacaru |
| collection | DOAJ |
| description | We present an introduction to the geometry of higher-order vector
and covector bundles (including higher-order generalizations of
the Finsler geometry and Kaluza-Klein gravity) and review the
basic results on Clifford and spinor structures on spaces with
generic local anisotropy modeled by anholonomic frames with
associated nonlinear connection structures. We emphasize strong
arguments for application of Finsler-like geometries in modern
string and gravity theory, noncommutative geometry and
noncommutative field theory, and gravity. |
| format | Article |
| id | doaj-art-121ff7c327df4be4a1d68e79396c48c2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-121ff7c327df4be4a1d68e79396c48c22025-02-03T06:01:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004231189123710.1155/S0161171204212170Nonlinear connections and spinor geometrySergiu I. Vacaru0Nadejda A. Vicol1Centro Multidisciplinar de Astrofisica - CENTRA, Departamento de Fisica, Instituto Superior Tecnico, Lisboa 1049-001, PortugalFaculty of Mathematics and Informatics, State University of Moldova, Chişinău MD 2009, MoldovaWe present an introduction to the geometry of higher-order vector and covector bundles (including higher-order generalizations of the Finsler geometry and Kaluza-Klein gravity) and review the basic results on Clifford and spinor structures on spaces with generic local anisotropy modeled by anholonomic frames with associated nonlinear connection structures. We emphasize strong arguments for application of Finsler-like geometries in modern string and gravity theory, noncommutative geometry and noncommutative field theory, and gravity.http://dx.doi.org/10.1155/S0161171204212170 |
| spellingShingle | Sergiu I. Vacaru Nadejda A. Vicol Nonlinear connections and spinor geometry International Journal of Mathematics and Mathematical Sciences |
| title | Nonlinear connections and spinor geometry |
| title_full | Nonlinear connections and spinor geometry |
| title_fullStr | Nonlinear connections and spinor geometry |
| title_full_unstemmed | Nonlinear connections and spinor geometry |
| title_short | Nonlinear connections and spinor geometry |
| title_sort | nonlinear connections and spinor geometry |
| url | http://dx.doi.org/10.1155/S0161171204212170 |
| work_keys_str_mv | AT sergiuivacaru nonlinearconnectionsandspinorgeometry AT nadejdaavicol nonlinearconnectionsandspinorgeometry |