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Riemannian supergeometry

✍ Scribed by O. Goertsches


Book ID
105875225
Publisher
Springer-Verlag
Year
2007
Tongue
French
Weight
399 KB
Volume
260
Category
Article
ISSN
0025-5874

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A supermanifold M is canonically associated to any pseudo-Riemannian spin manifold (Ma, go). Extending the metric go to a field g of bilinear forms g(p) on TpM, p E MO, the pseudo-Riemannian supergeometry of (M, g) is formulated as G-structure on M, where G is a supergroup with even part Go 2 Spin(k