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Tagged with foliations holonomy
6 questions
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Existence of special transversal on foliation
This is a somewhat technical question about a line in Sharpe's book Differential Geometry: Cartan's Generalization of Klein's Erlangen Program in the proof of the structure theorem, Theorem 8.3 in ...
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In which paper did J. F. Plante introduce the notion of Holonomy Invariant Transverse Measure?
In which paper did J. F. Plante introduce (for the first time) the notion of Holonomy Invariant Transverse Measure?
I do appreciate any help can be provided.
Thanks in Advance.
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Growth of a Leaf of a Foliated Bundle
Foliations I, Authors Alberto Candel and Lawrence Conlon, Chapter $12$, Page $320$, Corollary $12.2.32$.
Let $(M,\mathcal{F},\pi,B,F)$ be a $C^2-$ Foliated Bundle with a Fibre $F$ compact Metric Space,...
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Holonomy of a Foliation that is Transverse to the Fibres of a Fibre Bundle
Let $(\mathbb{E}, \pi, \mathbb{B}, \mathbb{F})$ be a Fibre Bundle and $\mathcal{F}$ be a $C^r$ (where $r \ge 1$) Foliation on $\mathbb{E}$ that is Transverse to the fibres of the fibre bundle $(\...
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Holonomy of a Leaf
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,...
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Holonomy of a path
Let $(M,\mathcal{F})$ be a foliated manifold. Take a leaf $L$, two points $x,y\in L$ and a path $\gamma$ from x to y.
I consider the case where $\gamma([0,1])\subset U$, $U$ is the domain of some ...
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