Author | Reinhart, Bruce L. author |
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Title | Differential Geometry of Foliations [electronic resource] : The Fundamental Integrability Problem / by Bruce L. Reinhart |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1983 |
Connect to | http://dx.doi.org/10.1007/978-3-642-69015-0 |
Descript | X, 196 p. online resource |
I. Differential Geometric Structures and Integrability -- 1. Pseudogroups and Groupoids -- 2. Foliations -- 3. The Integrability Problem -- 4. Vector Fields and Pfaffian Systems -- 5. Leaves and Holonomy -- 6. Examples of Foliations -- II. Prolongations, Connections, and Characteristic Classes -- 1. Truncated Polynomial Groups and Algebras -- 2. Prolongation of a Manifold -- 3. Higher Order Structures -- 4. Connections and Characteristic Classes -- 5. Foliations, Connections, and Secondary Classes -- III. Singular Foliations -- 1. The Classifying Space for a Topological Groupoid -- 2. Vector Fields and the Cohomology of Lie Algebras -- 3. Frobenius Structures -- IV. Metric and Measure Theoretic Properties of Foliations -- 1. Analytic Background -- 2. Measure, Volume, and Foliations -- 3. Foliations of a Riemannian Manifold -- 4. Riemannian Foliations -- 5. Foliations with a Few Derivatives -- Supplementary Bibliography -- Index of Terminology -- Index of Symbols