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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

5 votes

Closest point of one SO(3) submanifold onto another submanifold

I'm assuming you meant $P_1, P_2 \in SO(3)$, and that $M_1$ and $M_2$ are 1-parameter subgroups. Assuming you want the biinvariant metric on $SO(3)$, the 1-parameter subgroups are also geodesics. If I …
Haggai Nuchi's user avatar