Levy-Leblond equation is constructed with the lifted connection.
📌 3 Key Takeaways
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Objective & Hypothesis:Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor.
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Key Findings & Data:Newton-Cartan connection is lifted to the degenerate spinor bundle over a Newton-Cartan 4-manifold by the aid of degenerate spin group.
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Conclusion & Impact:Levy-Leblond equation is constructed with the lifted connection.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Phys. · (2006) · 411-418. Full text: pdf Other articles published in the same issue: Turk. J. Phys.
Abstract
Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor. Newton-Cartan connection is lifted to the degenerate spinor bundle over a Newton-Cartan 4-manifold by the aid of degenerate spin group. Levy-Leblond equation is constructed with the lifted connection.
Özet
Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor. Newton-Cartan connection is lifted to the degenerate spinor bundle over a Newton-Cartan 4-manifold by the aid of degenerate spin group. Levy-Leblond equation is constructed with the lifted connection.