Geometry, Dynamics And Topology of Foliations A First Course. Bruno Scardua, Carlos Arnoldo Morales Rojas. Page 59.
- What are $\Sigma_1$ and $\Sigma_2$?
- How are $\pi_1$ and $\pi_2$ defined?
- In general, how to define the projection along the plaques?
2026-03-25 14:39:46.1774449586
Holonomy of a Leaf
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$\Sigma_i$ is the quotient of $U_i$ by the relation defined by $x\simeq y$ if $x,y\in U_i$ and they are contained in the same leaf. $\pi_i$ is the projection onto the space of leaves $\Sigma_i$, that is the map which sends $x$ to its equivalence class.