Introduction to the Geometry of Foliations, Part A

Inhaltsverzeichnis

• Content.
• Chatter I — Foliations on Compact Surfaces.
• 1. Vector fields on surfaces.
• 2. Foliation on surfaces.
• 3. Construction of foliations.
• 4. Classification of foliations on surfaces.
• 5. Denjoy theory on the circle.
• 6. Structural stability.
• II — Fundamentals on Foliations.
• 1. Foliated bundles.
• 2. Foliated manifolds.
• 3. Examples of foliated manlfolds.
• III — Holonomy.
• 1. Foliated micro bundles.
• 2. Holonomy of leaves.
• 3. Linear holonomy; Thurston’s stability theorem.
• Literature.
• Glossary of notations.