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G2 fibre bundle structure on an oriented 3-dimensional manifold


Abstract


By using algebraic structures of Clifford algebras and octonions, we show that there exists the G2 principal fibre bundle structure on any oriented 3-dimensional C\infty Riemannian manifold.

DOI Code: 10.1285/i15900932v37suppl1p87

Keywords: Clifford algebras; Octonions

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