FONDASI MATEMATIS TEORI TERA: KAJIAN TENTANG UNTINGAN SERAT, KONEKSI DAN KELENGKUNGAN
The mathematical foundations of gauge theory has been studied. The aspects that has been explained is fiber bundle, connection, and curvature. The fiber bundle formalism used generalization of manifold that has been endowed with calculus structure on it. The principal fiber bundle as one of the fibe...
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2014
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| _version_ | 1797035559942619136 |
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| author | , LALU MUHAMMAD ABDI ZAMAKHSYARI , Dr.rer.nat. Muhammad Farchani Rosyid |
| author_facet | , LALU MUHAMMAD ABDI ZAMAKHSYARI , Dr.rer.nat. Muhammad Farchani Rosyid |
| author_sort | , LALU MUHAMMAD ABDI ZAMAKHSYARI |
| collection | UGM |
| description | The mathematical foundations of gauge theory has been studied. The
aspects that has been explained is fiber bundle, connection, and curvature. The
fiber bundle formalism used generalization of manifold that has been endowed
with calculus structure on it. The principal fiber bundle as one of the fiber
bundle is the representation of gauge theory. In principal fiber bundle, connection
is built as distribution of horizontal tangent vector. After that, connection
is interpreted as Lie algebra-valued 1-form on principal fiber bundle to get the
local picture of connection in base manifold. Later on, the concept of horizontal
curve on principal fiber bundle is built to define parallel transport. By using
parallel transport, it can be defined the covariant derivative of principal fiber
bundle�s section. The covariant derivative then generalized to exterior covariant
derivative in principal fiber bundle and use to defined curvature as the Lie
algebra-valued 2-form. |
| first_indexed | 2024-03-13T23:32:43Z |
| format | Thesis |
| id | oai:generic.eprints.org:131335 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T23:32:43Z |
| publishDate | 2014 |
| publisher | [Yogyakarta] : Universitas Gadjah Mada |
| record_format | dspace |
| spelling | oai:generic.eprints.org:1313352016-03-04T07:58:11Z https://repository.ugm.ac.id/131335/ FONDASI MATEMATIS TEORI TERA: KAJIAN TENTANG UNTINGAN SERAT, KONEKSI DAN KELENGKUNGAN , LALU MUHAMMAD ABDI ZAMAKHSYARI , Dr.rer.nat. Muhammad Farchani Rosyid ETD The mathematical foundations of gauge theory has been studied. The aspects that has been explained is fiber bundle, connection, and curvature. The fiber bundle formalism used generalization of manifold that has been endowed with calculus structure on it. The principal fiber bundle as one of the fiber bundle is the representation of gauge theory. In principal fiber bundle, connection is built as distribution of horizontal tangent vector. After that, connection is interpreted as Lie algebra-valued 1-form on principal fiber bundle to get the local picture of connection in base manifold. Later on, the concept of horizontal curve on principal fiber bundle is built to define parallel transport. By using parallel transport, it can be defined the covariant derivative of principal fiber bundle�s section. The covariant derivative then generalized to exterior covariant derivative in principal fiber bundle and use to defined curvature as the Lie algebra-valued 2-form. [Yogyakarta] : Universitas Gadjah Mada 2014 Thesis NonPeerReviewed , LALU MUHAMMAD ABDI ZAMAKHSYARI and , Dr.rer.nat. Muhammad Farchani Rosyid (2014) FONDASI MATEMATIS TEORI TERA: KAJIAN TENTANG UNTINGAN SERAT, KONEKSI DAN KELENGKUNGAN. UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=71790 |
| spellingShingle | ETD , LALU MUHAMMAD ABDI ZAMAKHSYARI , Dr.rer.nat. Muhammad Farchani Rosyid FONDASI MATEMATIS TEORI TERA: KAJIAN TENTANG UNTINGAN SERAT, KONEKSI DAN KELENGKUNGAN |
| title | FONDASI MATEMATIS TEORI TERA: KAJIAN TENTANG
UNTINGAN SERAT, KONEKSI DAN KELENGKUNGAN |
| title_full | FONDASI MATEMATIS TEORI TERA: KAJIAN TENTANG
UNTINGAN SERAT, KONEKSI DAN KELENGKUNGAN |
| title_fullStr | FONDASI MATEMATIS TEORI TERA: KAJIAN TENTANG
UNTINGAN SERAT, KONEKSI DAN KELENGKUNGAN |
| title_full_unstemmed | FONDASI MATEMATIS TEORI TERA: KAJIAN TENTANG
UNTINGAN SERAT, KONEKSI DAN KELENGKUNGAN |
| title_short | FONDASI MATEMATIS TEORI TERA: KAJIAN TENTANG
UNTINGAN SERAT, KONEKSI DAN KELENGKUNGAN |
| title_sort | fondasi matematis teori tera kajian tentang untingan serat koneksi dan kelengkungan |
| topic | ETD |
| work_keys_str_mv | AT lalumuhammadabdizamakhsyari fondasimatematisteoriterakajiantentanguntinganseratkoneksidankelengkungan AT drrernatmuhammadfarchanirosyid fondasimatematisteoriterakajiantentanguntinganseratkoneksidankelengkungan |