Since the generators of the two SU(2) groups which comprise SO(4) are not Hermitian conjugates of each other, the simplest supersymmetry algebra in four-dimensional Euclidean space more closely resembles the N=2 than the N=1 supersymmetry algebra in four-dimensional Minkowski space. An extended supe
Algebraic classification of four-dimensional locally Euclidean spaces
β Scribed by A. M. Baranov
- Book ID
- 112370286
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 330 KB
- Volume
- 37
- Category
- Article
- ISSN
- 1573-9228
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π SIMILAR VOLUMES
Spinors in four-dimensional Euclidean space are treated using the decomposition of the Euclidean space SO(4) symmetry group into SU(2) Γ SU(2). Both 2-and 4-spinor representations of this SO(4) symmetry group are shown to differ significantly from the corresponding spinor representations of the SO(3
Il~.srrz/c~t: We consider four-dimensional D'Atri spaces. which is to say Riemannian spaces for which ever!' canonical geodesic involution preserves the volume element up to sign. We show that four-dimensional D' Atri spaces which are also Einstein are necessarily locally symmetric. The same methods