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Introduction to the Geometry of Foliations, Part B: Foliations of Codimension One [Paperback]

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  • Category: Books (Mathematics)
  • Author:  Hector, Gilbert, Hirsch, Ulrich
  • Author:  Hector, Gilbert, Hirsch, Ulrich
  • ISBN-10:  3528185686
  • ISBN-10:  3528185686
  • ISBN-13:  9783528185688
  • ISBN-13:  9783528185688
  • Publisher:  Vieweg+Teubner Verlag
  • Publisher:  Vieweg+Teubner Verlag
  • Binding:  Paperback
  • Binding:  Paperback
  • Pub Date:  01-Feb-1987
  • Pub Date:  01-Feb-1987
  • SKU:  3528185686-11-SPRI
  • SKU:  3528185686-11-SPRI
  • Pages:  298
  • Pages:  298
  • Item ID: 105266032
  • List Price: $54.99
  • Seller: ShopSpell
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  • Delivery by: Oct 07 to Oct 09
  • Notes: Brand New Item. Not shipped to AK, HI, APO, FPO, AE.
IV  Basic Constructions and Examples.- 1. General setting in co dimension one.- 2. Topological dynamics.- 3. foliated bundles ; example.- 4. Gluing foliations together.- 5. Turbulization.- 6. Co dimension-one foliations on spkeres.- V  Structure of Codimension-one Foliations.- 1. Trans verse orientability.- 2. Holonomy of compact leaver.- 3. Saturated open sets of compact manifolds.- 4. Centre of a compact foliated manifold; global stability.- Charter VI  Exceptional Minimal Sets of Compact Foliated Manifolds; a Theorem of Sacksteder.- 1. Resilient leaves.- 2. The. theorem of Denjoy-Sacksteder.- 3. Sacksteders theorem.- 4. The theorem of Schwartz.- Charter VII  One Sided Holonomy; Vanishing Cycles and Closed Transversals.- 1. Preliminaries on one-sided holonomy and vanishing cycles.- 2. Transverse follatlons of D2 ? IR.- 3. Existence of one-sided holonomy and vanishing cycles.- VIII  Foliations Without Holonomy.- 1. Closed 1-forms without singularities.- 2. Foliations without holonomy versus equivariant fibrations.- 3. Holonomy representation and cohomology direction.- IX  Growth.- 1. Growth of groups, homogeneous spaces and riemannian manifolds.- 2. Growth of leaves in foliations on compact manifolds.- X  Holonomy Invariant Measures.- 1. Invariant measures for subgroups of Horneo (IR) or Homeo (S1 ).- 2. Foliations witk holonomy invariant measure.- Literature..- Glossary of notations.
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