Geodesic generators of ![pi_{n}Spin(n+1)](https://358864.dpsou.asia/plugins/generic/latexRender/cache/c7462aac6cfcfcedce3e3423930ada16.png)
Abstract
We show for all
the cartan inclusion of
in
, as a totally geodesic submanifold of constant sectional curvature, generates a cyclic direct summand of
.
![n≥ 2](https://358864.dpsou.asia/plugins/generic/latexRender/cache/97b8ed14da849343d82913304f2e705d.png)
![S<sup>n</sup>](https://358864.dpsou.asia/plugins/generic/latexRender/cache/7e14407c9cb076098c2c2df9893c1ac8.png)
![Spin(n+1)](https://358864.dpsou.asia/plugins/generic/latexRender/cache/346157cf8b5697ff32536160c49f6d28.png)
![𝜋<sub>n</sub>Spin(n+1)](https://358864.dpsou.asia/plugins/generic/latexRender/cache/d5355df2b21ade4eacbe390614a11384.png)
DOI Code:
10.1285/i15900932v19n2p219
Full Text: PDF