In 1962, Adams proved that there do not exist $\rho(n)$ linearly independent vector fields on the sphere $S^{n-1}$, where $\rho(n)$ is the Hurwitz-Radon number. I wonder if this is still true in the case of quasi-sphere (a sphere in the pseudo-Euclidean space $\mathbb{R}^n_{\nu}$ of index $\nu$).