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1983Killing tensor fields on the standard sphere and spectra of ${\rm SO}(n+1)/({\rm SO}(n-1)\times {\rm SO}(2))$ and ${\rm O}(n+1)/({\rm O}(n-1)\times {\rm O}(2))$
Takeshi Sumitomo, Kwoichi Tandai "Killing tensor fields on the standard sphere and spectra of ${\rm SO}(n+1)/({\rm SO}(n-1)\times {\rm SO}(2))$ and ${\rm O}(n+1)/({\rm O}(n-1)\times {\rm O}(2))$," Osaka Journal of Mathematics, Osaka J. Math. 20(1), 51-78, (1983)