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Can I read Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy (Aspects of Mathematics, 1) on EtoBox?
Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy (Aspects of Mathematics, 1) by Dr. Gilbert Hector, Dr. Ulrich Hirsch (auth.) is a nonfiction available to read on EtoBox.
What is Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy (Aspects of Mathematics, 1) about?
I — Foliations on Compact Surfaces.- 1. Vector fields on surfaces.- 1.1. Examples of isolated singularities.- 1.2. The index of an isolated singularity.- 1.3. The theorem of Poincaré — Bohl — Hopf.- 1.4. Existence of non-singular vector fields.- 2. Foliations on surfaces.- 2.1. Motivating remarks.- 2.2. Definition of foliations and related notions.- 2.3. Orientability; relation with vector fields.- 2.4. The existence theorem of Poincaré-Kneser.- 3. Construction of foliations.- 3.1. Suspensions.- 3.2. Germs near circle leaves; leaf holonomy.- 3.3. Reeb components.- 3.4. Turbulization.- 3.5. Gluing foliations together.- 4. Classification of foliations on surfaces.- 4.1. Topological dynamics.- 4.2. Foliations on the annulus and on the Möbius band.- 4.3. Foliations on the torus and on the Klein bottle.- 5. Denjoy theory on the circle.- 5.1. The rotation number.- 5.2. Denjoy’s example.- 5.3. Denjoy’s theorem.- 6. Structural stability.- 6.1. Structural stability for diffeomorphisms of the interval and the circle.- 6.2. Structural stability for suspensions.- 6.3. Structural stability for foliations in general.- Chatter II — Fundamentals on Foliations.- 1. Foliated bundles.- 1.1. Preparato
Who reads Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy (Aspects of Mathematics, 1)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Dr. Gilbert Hector, Dr. Ulrich Hirsch (auth.)
- Publisher
- Vieweg+Teubner Verlag : Imprint : Vieweg+Teubner Verlag
- Published
- 1981
- Language
- DE
- ISBN
- 9783528085018
- Category
- nonfiction
- Subjects
- Social Science, Sociology, Mathematics
- Updated
- 2026-03-25
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