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In differential geometry, given a spin structure on an n {\displaystyle n} -dimensional orientable Riemannian manifold ( M , g ) , {\displaystyle (M,g),\,} one defines the spinor bundle to be the complex vector bundle π S : S → M {\displaystyle \pi _{\mathbf {S} }\colon {\mathbf {S} }\to M\,} associated to the corresponding principal bundle π P : P → M…
Formal definition & Overview
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displaystyle spinor spin bundle mathbf group geometry representation mathrm structure riemannian colon manifold complex vector associated space delta isbn spinors
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Spinor bundle | related to Formal definition | Let | 0.60 | section |
| Spinor bundle | related to Formal definition | Riemannian | 0.60 | section |
| Spinor bundle | related to Formal definition | SO | 0.60 | section |
| Spinor bundle | related to Formal definition | Spin | 0.60 | section |
| Spinor bundle | related to Formal definition | The | 0.60 | section |
| Spinor bundle | related to Formal definition | Delta | 0.60 | section |
| Spinor bundle | related to Formal definition | Hilbert | 0.60 | section |
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