Can anyone give equations of isometries of $S2$ in spherical coordinates $(\theta, \varphi)$? In other words, we need to find isometries of $S2$ with respect to metric: $g=d\theta \otimes d\theta+ \sin^{2}{\theta}\cdot{d\varphi }\otimes d\varphi$
2026-03-26 14:24:51.1774535091
Isometries of S2 in spherical coordinates
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