Es sei
die zweidimensionale Einheitssphäre, P = ( 1 2 0 3 2 ) {\displaystyle {}P={\begin{pmatrix}{\frac {1}{2}}\\0\\{\frac {\sqrt {3}}{2}}\end{pmatrix}}} und γ : [ 0 , 2 π ] ⟶ Y {\displaystyle {}\gamma \colon [0,2\pi ]\longrightarrow Y} , t ⟼ ( 1 2 cos t 1 2 sin t 3 2 ) {\displaystyle {}t\longmapsto {\begin{pmatrix}{\frac {1}{2}}\cos t\\{\frac {1}{2}}\sin t\\{\frac {\sqrt {3}}{2}}\end{pmatrix}}} . Beschreibe den Paralleltransport Ψ γ : T P Y → T P Y {\displaystyle {}\Psi _{\gamma }\colon T_{P}Y\rightarrow T_{P}Y}
![{\displaystyle {}\gamma \colon [0,2\pi ]\longrightarrow Y}](https://wikimedia.org/api/rest_v1/media/math/render/svg/32229d91f889b98f371a4ac6014729bd0039d1b2)
