Contents
Chapter 1. Introduction 1
Chapter 2. Complete afflne flows 9
1. Theorem of Nagano-Yagi and its application 9
2. Nilpotent holonomy 13
3. Periodic orbit case 15
4. No periodic orbit case 18
Chapter 3. Luxuriant Foliations 23
1. Luxuriant foliations 23
2. Horizontal flow on a leaf of T 24
3. Minimality of the foliation T 25
4. Nontriviality of the holonomy of T 27
5. Topology of the flow ip 29
Chapter 4. SL-flows 33
1. SL-flows are horizontal 33
2. Solvable case 34
3. Fuchsian case 35
4. The homotopy lifting property 39
5. Dense Case 50
Chapter 5. SA-flows 53
1. Preliminaries 53
2. Affine subsurfaces 56
3. Elliptic and parabolic periodic orbits 64
4. The characteristic subgroup 69
5. K is trivial; no periodic orbits case 71
6. if is trivial; periodic orbits case 81
7. Case K is nontrivial 89
Bibliography 93
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