Geodesic generators of pi_{n}Spin(n+1)


Abstract


We show for all n≥ 2 the cartan inclusion of S<sup>n</sup> in Spin(n+1), as a totally geodesic submanifold of constant sectional curvature, generates a cyclic direct summand of 𝜋<sub>n</sub>Spin(n+1).

DOI Code: 10.1285/i15900932v19n2p219

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