Atıf İçin Kopyala
AYDIN ŞEKERCİ G., ÇÖKEN A. C.
REPORTS ON MATHEMATICAL PHYSICS, cilt.86, sa.2, ss.241-262, 2020 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
86
Sayı:
2
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Basım Tarihi:
2020
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Doi Numarası:
10.1016/s0034-4877(20)30074-4
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Dergi Adı:
REPORTS ON MATHEMATICAL PHYSICS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
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Sayfa Sayıları:
ss.241-262
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Anahtar Kelimeler:
spin geometry, spin manifold, fiber bundles, Clifford algebras, Lorentz metrics, CLIFFORD ALGEBRAS
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Akdeniz Üniversitesi Adresli:
Evet
Özet
In this work, we define a spinor covariant derivative for degenerate manifolds with 4-dimensions. To perform this, we have found the principal bundle by using a degenerate spin group. Then, we benefit from a covering map to establish a relationship between the local connection forms of principal bundles. After that, we define a covariant derivative on a degenerate spinor bundle which is an associated bundle.