Spin spaces, Lipschitz groups, and spinor bundles

DOI10.1023/A:1006713405277zbMath0964.15033arXivmath/9901137MaRDI QIDQ1586048

Andrzej Trautman, Thomas Friedrich

Publication date: 9 July 2001

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9901137

zbMATH Keywords

Riemannian manifoldspin structuresRiemannian spaceClifford groupLipschitz groupClifford and spinor bundlesspin spaces

Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Clifford algebras, spinors (15A66)

Related Items (6)

Geometric algebra techniques in flux compactifications ⋮ Spinors of real type as polyforms and the generalized Killing equation ⋮ \(\mathcal{N}=1\) geometric supergravity and chiral triples on Riemann surfaces ⋮ Connections and the Dirac operator on spinor bundles ⋮ Complex Lipschitz structures and bundles of complex Clifford modules ⋮ Dirac operators on real spinor bundles of complex type

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